10365638400 has 648 divisors, whose sum is σ = 40593512960. Its totient is φ = 2508226560.

The previous prime is 10365638377. The next prime is 10365638411. The reversal of 10365638400 is 483656301.

10365638400 is a `hidden beast` number, since 10 + 3 + 6 + 5 + 638 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81619137 + ... + 81619263.

Almost surely, 2^10365638400 is an apocalyptic number.

10365638400 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 10365638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296756480).

10365638400 is an abundant number, since it is smaller than the sum of its proper divisors (30227874560).

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

10365638400 is a wasteful number, since it uses less digits than its factorization.

10365638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10365638400 in words is "ten billion, three hundred sixty-five million, six hundred thirty-eight thousand, four hundred".