10938013632 has 672 divisors, whose sum is σ = 42484243200. Its totient is φ = 2727696384.

The previous prime is 10938013609. The next prime is 10938013637. The reversal of 10938013632 is 23631083901.

10938013632 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 8 + 0 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938013637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20913723 + ... + 20914245.

It is an arithmetic number, because the mean of its divisors is an integer number (63220600).

Almost surely, 2^10938013632 is an apocalyptic number.

10938013632 is a gapful number since it is divisible by the number (12) 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 10938013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21242121600).

10938013632 is an abundant number, since it is smaller than the sum of its proper divisors (31546229568).

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

10938013632 is a wasteful number, since it uses less digits than its factorization.

10938013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10938013632 in words is "ten billion, nine hundred thirty-eight million, thirteen thousand, six hundred thirty-two".