61162516800 has 1344 divisors, whose sum is σ = 282647623680. Its totient is φ = 12653107200.

The previous prime is 61162516783. The next prime is 61162516801. The reversal of 61162516800 is 861526116.

61162516800 is a `hidden beast` number, since 6 + 1 + 1 + 62 + 516 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×61162516800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61162516801) 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 191 ways as a sum of consecutive naturals, for example, 269438287 + ... + 269438513.

Almost surely, 2^61162516800 is an apocalyptic number.

61162516800 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 61162516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141323811840).

61162516800 is an abundant number, since it is smaller than the sum of its proper divisors (221485106880).

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

61162516800 is a wasteful number, since it uses less digits than its factorization.

61162516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61162516800 in words is "sixty-one billion, one hundred sixty-two million, five hundred sixteen thousand, eight hundred".