10264401984 has 112 divisors (see below), whose sum is σ = 29747260800. Its totient is φ = 3109134336.

The previous prime is 10264401949. The next prime is 10264402003. The reversal of 10264401984 is 48910446201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40437 + ... + 148875.

Almost surely, 2^10264401984 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 10264401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873630400).

10264401984 is an abundant number, since it is smaller than the sum of its proper divisors (19482858816).

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

10264401984 is a wasteful number, since it uses less digits than its factorization.

10264401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108500 (or 108490 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10264401984 in words is "ten billion, two hundred sixty-four million, four hundred one thousand, nine hundred eighty-four".