10139606400 has 1152 divisors, whose sum is σ = 44409657600. Its totient is φ = 1986969600.

The previous prime is 10139606381. The next prime is 10139606413. The reversal of 10139606400 is 460693101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235804779 + ... + 235804821.

It is an arithmetic number, because the mean of its divisors is an integer number (38550050).

Almost surely, 2^10139606400 is an apocalyptic number.

10139606400 is a gapful number since it is divisible by the number (10) 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 10139606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204828800).

10139606400 is an abundant number, since it is smaller than the sum of its proper divisors (34270051200).

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

10139606400 is a wasteful number, since it uses less digits than its factorization.

10139606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 10139606400 in words is "ten billion, one hundred thirty-nine million, six hundred six thousand, four hundred".