86753629872 has 360 divisors, whose sum is σ = 307812986208. Its totient is φ = 22320230400.

The previous prime is 86753629841. The next prime is 86753629939. The reversal of 86753629872 is 27892635768.

86753629872 is a `hidden beast` number, since 8 + 6 + 7 + 536 + 2 + 98 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6978222 + ... + 6990642.

Almost surely, 2^86753629872 is an apocalyptic number.

86753629872 is a gapful number since it is divisible by the number (82) 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 86753629872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153906493104).

86753629872 is an abundant number, since it is smaller than the sum of its proper divisors (221059356336).

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

86753629872 is a wasteful number, since it uses less digits than its factorization.

86753629872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12487 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 86753629872 in words is "eighty-six billion, seven hundred fifty-three million, six hundred twenty-nine thousand, eight hundred seventy-two".