86537137401000 has 1536 divisors, whose sum is σ = 375116739379200. Its totient is φ = 18345605760000.

The previous prime is 86537137400993. The next prime is 86537137401031. The reversal of 86537137401000 is 10473173568.

86537137401000 is a `hidden beast` number, since 8 + 6 + 537 + 1 + 3 + 7 + 4 + 0 + 100 + 0 = 666.

It is a super-2 number, since 2×86537137401000² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 660165465 + ... + 660296535.

It is an arithmetic number, because the mean of its divisors is an integer number (244216627200).

Almost surely, 2^{86537137401000} 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 86537137401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187558369689600).

86537137401000 is an abundant number, since it is smaller than the sum of its proper divisors (288579601978200).

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

86537137401000 is a wasteful number, since it uses less digits than its factorization.

86537137401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131150 (or 131124 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 86537137401000 in words is "eighty-six trillion, five hundred thirty-seven billion, one hundred thirty-seven million, four hundred one thousand".