78157042560 has 192 divisors, whose sum is σ = 279882373680. Its totient is φ = 20841836544.

The previous prime is 78157042559. The next prime is 78157042567. The reversal of 78157042560 is 6524075187.

78157042560 is a `hidden beast` number, since 7 + 8 + 15 + 70 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78157042560² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78157042567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95757 + ... + 406796.

Almost surely, 2^78157042560 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 78157042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139941186840).

78157042560 is an abundant number, since it is smaller than the sum of its proper divisors (201725331120).

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

78157042560 is an equidigital number, since it uses as much as digits as its factorization.

78157042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502587 (or 502563 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 78157042560 in words is "seventy-eight billion, one hundred fifty-seven million, forty-two thousand, five hundred sixty".