86351937408 has 512 divisors, whose sum is σ = 293289984000. Its totient is φ = 24768460800.

The previous prime is 86351937407. The next prime is 86351937433. The reversal of 86351937408 is 80473915368.

86351937408 is a `hidden beast` number, since 86 + 3 + 519 + 3 + 7 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86351937407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55388533 + ... + 55390091.

It is an arithmetic number, because the mean of its divisors is an integer number (572832000).

Almost surely, 2^86351937408 is an apocalyptic number.

86351937408 is a gapful number since it is divisible by the number (88) 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 86351937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146644992000).

86351937408 is an abundant number, since it is smaller than the sum of its proper divisors (206938046592).

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

86351937408 is a wasteful number, since it uses less digits than its factorization.

86351937408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 86351937408 in words is "eighty-six billion, three hundred fifty-one million, nine hundred thirty-seven thousand, four hundred eight".