10387137600 has 672 divisors, whose sum is σ = 44220384000. Its totient is φ = 2370816000.

The previous prime is 10387137589. The next prime is 10387137731. The reversal of 10387137600 is 673178301.

10387137600 is a `hidden beast` number, since 1 + 0 + 38 + 7 + 13 + 7 + 600 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14817250 + ... + 14817950.

Almost surely, 2^10387137600 is an apocalyptic number.

10387137600 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 10387137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110192000).

10387137600 is an abundant number, since it is smaller than the sum of its proper divisors (33833246400).

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

10387137600 is an equidigital number, since it uses as much as digits as its factorization.

10387137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10387137600 in words is "ten billion, three hundred eighty-seven million, one hundred thirty-seven thousand, six hundred".