10634903654400 has 1053 divisors, whose sum is σ = 39498297480369. Its totient is φ = 2734957854720.

The previous prime is 10634903654359. The next prime is 10634903654411. The reversal of 10634903654400 is 445630943601.

The square root of 10634903654400 is 3261120.

It is a perfect power (a square), and thus also a powerful number.

10634903654400 is a `hidden beast` number, since 1 + 0 + 63 + 4 + 90 + 3 + 65 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3828565315584 + 6806338338816 = 1956672^2 + 2608896^2 .

It is a super-2 number, since 2×10634903654400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 134619033561 + ... + 134619033639.

Almost surely, 2^{10634903654400} is an apocalyptic number.

10634903654400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10634903654400 is the 3261120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10634903654400

10634903654400 is an abundant number, since it is smaller than the sum of its proper divisors (28863393825969).

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

10634903654400 is an frugal number, since it uses more digits than its factorization.

10634903654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 10634903654400 in words is "ten trillion, six hundred thirty-four billion, nine hundred three million, six hundred fifty-four thousand, four hundred".