61162391347200 has 6720 divisors, whose sum is σ = 297332419507200. Its totient is φ = 12192369868800.

The previous prime is 61162391347199. The next prime is 61162391347201. The reversal of 61162391347200 is 274319326116.

61162391347200 is a `hidden beast` number, since 6 + 1 + 1 + 623 + 9 + 13 + 4 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61162391347199) and next prime (61162391347201).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61162391347201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1036650700771 + ... + 1036650700829.

It is an arithmetic number, because the mean of its divisors is an integer number (44245895760).

Almost surely, 2^{61162391347200} is an apocalyptic number.

61162391347200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61162391347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148666209753600).

61162391347200 is an abundant number, since it is smaller than the sum of its proper divisors (236170028160000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61162391347200 is a wasteful number, since it uses less digits than its factorization.

61162391347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 61162391347200 in words is "sixty-one trillion, one hundred sixty-two billion, three hundred ninety-one million, three hundred forty-seven thousand, two hundred".