86893632000 has 960 divisors, whose sum is σ = 373635085824. Its totient is φ = 18977587200.

The previous prime is 86893631999. The next prime is 86893632011. The reversal of 86893632000 is 23639868.

86893632000 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 3 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92735532 + ... + 92736468.

Almost surely, 2^86893632000 is an apocalyptic number.

86893632000 is a gapful number since it is divisible by the number (80) 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 86893632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186817542912).

86893632000 is an abundant number, since it is smaller than the sum of its proper divisors (286741453824).

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

86893632000 is a wasteful number, since it uses less digits than its factorization.

86893632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 86893632000 in words is "eighty-six billion, eight hundred ninety-three million, six hundred thirty-two thousand".