77989125058560 has 832 divisors, whose sum is σ = 293778589478400. Its totient is φ = 19559856734208.

The previous prime is 77989125058547. The next prime is 77989125058567. The reversal of 77989125058560 is 6585052198977.

77989125058560 is a `hidden beast` number, since 7 + 7 + 9 + 8 + 9 + 1 + 2 + 5 + 0 + 58 + 560 = 666.

It is a super-2 number, since 2×77989125058560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77989125058567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21987346707 + ... + 21987350253.

It is an arithmetic number, because the mean of its divisors is an integer number (353099266200).

Almost surely, 2^{77989125058560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77989125058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146889294739200).

77989125058560 is an abundant number, since it is smaller than the sum of its proper divisors (215789464419840).

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

77989125058560 is a wasteful number, since it uses less digits than its factorization.

77989125058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 77989125058560 in words is "seventy-seven trillion, nine hundred eighty-nine billion, one hundred twenty-five million, fifty-eight thousand, five hundred sixty".