201137086080 has 768 divisors, whose sum is σ = 822540925440. Its totient is φ = 44338544640.

The previous prime is 201137085971. The next prime is 201137086091. The reversal of 201137086080 is 80680731102.

201137086080 is a `hidden beast` number, since 2 + 0 + 11 + 37 + 0 + 8 + 608 + 0 = 666.

It is a super-2 number, since 2×201137086080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 130353789 + ... + 130355331.

It is an arithmetic number, because the mean of its divisors is an integer number (1071016830).

Almost surely, 2^201137086080 is an apocalyptic number.

201137086080 is a gapful number since it is divisible by the number (20) 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 201137086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411270462720).

201137086080 is an abundant number, since it is smaller than the sum of its proper divisors (621403839360).

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

201137086080 is a wasteful number, since it uses less digits than its factorization.

201137086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 201137086080 in words is "two hundred one billion, one hundred thirty-seven million, eighty-six thousand, eighty".