61316169062400 has 432 divisors, whose sum is σ = 250965177044400. Its totient is φ = 14015123619840.

The previous prime is 61316169062399. The next prime is 61316169062413. The reversal of 61316169062400 is 426096161316.

61316169062400 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 6 + 16 + 9 + 0 + 624 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6279015 + ... + 12730214.

It is an arithmetic number, because the mean of its divisors is an integer number (580937909825).

Almost surely, 2^{61316169062400} is an apocalyptic number.

61316169062400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61316169062400 is an abundant number, since it is smaller than the sum of its proper divisors (189649007982000).

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

61316169062400 is a wasteful number, since it uses less digits than its factorization.

61316169062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009274 (or 19009246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 61316169062400 in words is "sixty-one trillion, three hundred sixteen billion, one hundred sixty-nine million, sixty-two thousand, four hundred".