10049503564800 has 1188 divisors, whose sum is σ = 42991569231520. Its totient is φ = 2196972011520.

The previous prime is 10049503564787. The next prime is 10049503564831. The reversal of 10049503564800 is 846530594001.

10049503564800 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 5 + 0 + 3 + 564 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 853165311 + ... + 853177089.

Almost surely, 2^{10049503564800} is an apocalyptic number.

10049503564800 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 10049503564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495784615760).

10049503564800 is an abundant number, since it is smaller than the sum of its proper divisors (32942065666720).

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

10049503564800 is a wasteful number, since it uses less digits than its factorization.

10049503564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10049503564800 in words is "ten trillion, forty-nine billion, five hundred three million, five hundred sixty-four thousand, eight hundred".