365011167872 has 128 divisors (see below), whose sum is σ = 790661208960. Its totient is φ = 166849155072.

The previous prime is 365011167847. The next prime is 365011167877. The reversal of 365011167872 is 278761110563.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (365011167877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81418943 + ... + 81423425.

It is an arithmetic number, because the mean of its divisors is an integer number (6177040695).

Almost surely, 2^365011167872 is an apocalyptic number.

365011167872 is a gapful number since it is divisible by the number (32) 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 365011167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395330604480).

365011167872 is an abundant number, since it is smaller than the sum of its proper divisors (425650041088).

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

365011167872 is a wasteful number, since it uses less digits than its factorization.

365011167872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 365011167872 in words is "three hundred sixty-five billion, eleven million, one hundred sixty-seven thousand, eight hundred seventy-two".