10321953984 has 224 divisors, whose sum is σ = 33332928000. Its totient is φ = 3117616128.

The previous prime is 10321953977. The next prime is 10321954031. The reversal of 10321953984 is 48935912301.

It is a happy number.

10321953984 is a `hidden beast` number, since 1 + 0 + 32 + 1 + 9 + 539 + 84 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748302 + ... + 761970.

Almost surely, 2^10321953984 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 10321953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666464000).

10321953984 is an abundant number, since it is smaller than the sum of its proper divisors (23010974016).

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

10321953984 is a wasteful number, since it uses less digits than its factorization.

10321953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13732 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10321953984 in words is "ten billion, three hundred twenty-one million, nine hundred fifty-three thousand, nine hundred eighty-four".