86634455040 has 1344 divisors, whose sum is σ = 383503749120. Its totient is φ = 18154782720.

The previous prime is 86634455023. The next prime is 86634455041. The reversal of 86634455040 is 4055443668.

86634455040 is a `hidden beast` number, since 8 + 6 + 634 + 4 + 5 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (86634455041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2794659825 + ... + 2794659855.

Almost surely, 2^86634455040 is an apocalyptic number.

86634455040 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 86634455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191751874560).

86634455040 is an abundant number, since it is smaller than the sum of its proper divisors (296869294080).

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

86634455040 is a wasteful number, since it uses less digits than its factorization.

86634455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 86634455040 in words is "eighty-six billion, six hundred thirty-four million, four hundred fifty-five thousand, forty".