61356162981600 has 1440 divisors, whose sum is σ = 233018562357504. Its totient is φ = 15699408076800.

The previous prime is 61356162981571. The next prime is 61356162981601. The reversal of 61356162981600 is 618926165316.

61356162981600 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 6 + 1 + 6 + 29 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61356162981601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103467390904 + ... + 103467391496.

Almost surely, 2^{61356162981600} is an apocalyptic number.

61356162981600 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 61356162981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116509281178752).

61356162981600 is an abundant number, since it is smaller than the sum of its proper divisors (171662399375904).

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

61356162981600 is a wasteful number, since it uses less digits than its factorization.

61356162981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 61356162981600 in words is "sixty-one trillion, three hundred fifty-six billion, one hundred sixty-two million, nine hundred eighty-one thousand, six hundred".