61257279283200 has 10080 divisors, whose sum is σ = 338958958238208. Its totient is φ = 10701766656000.

The previous prime is 61257279283199. The next prime is 61257279283247. The reversal of 61257279283200 is 238297275216.

61257279283200 is a `hidden beast` number, since 6 + 1 + 25 + 7 + 279 + 28 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1976041267185 + ... + 1976041267215.

Almost surely, 2^{61257279283200} is an apocalyptic number.

61257279283200 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 61257279283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169479479119104).

61257279283200 is an abundant number, since it is smaller than the sum of its proper divisors (277701678955008).

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

61257279283200 is a wasteful number, since it uses less digits than its factorization.

61257279283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 61257279283200 in words is "sixty-one trillion, two hundred fifty-seven billion, two hundred seventy-nine million, two hundred eighty-three thousand, two hundred".