78311551527840 has 192 divisors, whose sum is σ = 247099758022656. Its totient is φ = 20847672640512.

The previous prime is 78311551527773. The next prime is 78311551527931. The reversal of 78311551527840 is 4872515511387.

It is a super-2 number, since 2×78311551527840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2677944259 + ... + 2677973501.

It is an arithmetic number, because the mean of its divisors is an integer number (1286977906368).

Almost surely, 2^{78311551527840} 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 78311551527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123549879011328).

78311551527840 is an abundant number, since it is smaller than the sum of its proper divisors (168788206494816).

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

78311551527840 is a wasteful number, since it uses less digits than its factorization.

78311551527840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38531 (or 38523 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 57.

The spelling of 78311551527840 in words is "seventy-eight trillion, three hundred eleven billion, five hundred fifty-one million, five hundred twenty-seven thousand, eight hundred forty".