62561116800 has 1536 divisors, whose sum is σ = 288273216000. Its totient is φ = 12899450880.

The previous prime is 62561116789. The next prime is 62561116817. The reversal of 62561116800 is 861116526.

62561116800 is a `hidden beast` number, since 6 + 2 + 561 + 1 + 16 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 573955146 + ... + 573955254.

It is an arithmetic number, because the mean of its divisors is an integer number (187677875).

Almost surely, 2^62561116800 is an apocalyptic number.

62561116800 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 62561116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144136608000).

62561116800 is an abundant number, since it is smaller than the sum of its proper divisors (225712099200).

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

62561116800 is a wasteful number, since it uses less digits than its factorization.

62561116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

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

It can be divided in two parts, 625611 and 16800, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 62561116800 in words is "sixty-two billion, five hundred sixty-one million, one hundred sixteen thousand, eight hundred".