164076507939000 has 256 divisors, whose sum is σ = 539630630323200. Its totient is φ = 41391766080000.

The previous prime is 164076507938983. The next prime is 164076507939059. The reversal of 164076507939000 is 939705670461.

It is a happy number.

It is a super-2 number, since 2×164076507939000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37903837 + ... + 42010163.

It is an arithmetic number, because the mean of its divisors is an integer number (2107932149700).

Almost surely, 2^{164076507939000} is an apocalyptic number.

164076507939000 is a gapful number since it is divisible by the number (10) 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 164076507939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269815315161600).

164076507939000 is an abundant number, since it is smaller than the sum of its proper divisors (375554122384200).

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

164076507939000 is a wasteful number, since it uses less digits than its factorization.

164076507939000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107071 (or 4107057 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The spelling of 164076507939000 in words is "one hundred sixty-four trillion, seventy-six billion, five hundred seven million, nine hundred thirty-nine thousand".