905838372972 has 144 divisors (see below), whose sum is σ = 2505170117632. Its totient is φ = 274288291200.

The previous prime is 905838372913. The next prime is 905838372991. The reversal of 905838372972 is 279273838509.

It is a super-2 number, since 2×905838372972² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32941413 + ... + 32968899.

Almost surely, 2^905838372972 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 905838372972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252585058816).

905838372972 is an abundant number, since it is smaller than the sum of its proper divisors (1599331744660).

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

905838372972 is a wasteful number, since it uses less digits than its factorization.

905838372972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28628 (or 28623 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 905838372972 in words is "nine hundred five billion, eight hundred thirty-eight million, three hundred seventy-two thousand, nine hundred seventy-two".