78151567785984 has 2160 divisors, whose sum is σ = 300472656019200. Its totient is φ = 19998678712320.

The previous prime is 78151567785943. The next prime is 78151567786021. The reversal of 78151567785984 is 48958776515187.

78151567785984 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 15 + 6 + 7 + 7 + 8 + 598 + 4 = 666.

It is a super-2 number, since 2×78151567785984² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217692389197 + ... + 217692389555.

It is an arithmetic number, because the mean of its divisors is an integer number (139107711120).

Almost surely, 2^{78151567785984} 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 78151567785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150236328009600).

78151567785984 is an abundant number, since it is smaller than the sum of its proper divisors (222321088233216).

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

78151567785984 is a wasteful number, since it uses less digits than its factorization.

78151567785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 465 counting only the distinct ones).

The product of its digits is 4741632000, while the sum is 81.

The spelling of 78151567785984 in words is "seventy-eight trillion, one hundred fifty-one billion, five hundred sixty-seven million, seven hundred eighty-five thousand, nine hundred eighty-four".