63153372052800 has 1008 divisors, whose sum is σ = 244418355634752. Its totient is φ = 15405519667200.

The previous prime is 63153372052787. The next prime is 63153372052819. The reversal of 63153372052800 is 825027335136.

63153372052800 is a `hidden beast` number, since 6 + 3 + 1 + 53 + 3 + 72 + 0 + 528 + 0 + 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 143 ways as a sum of consecutive naturals, for example, 1388238055 + ... + 1388283545.

Almost surely, 2^{63153372052800} is an apocalyptic number.

63153372052800 is a gapful number since it is divisible by the number (60) 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 63153372052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122209177817376).

63153372052800 is an abundant number, since it is smaller than the sum of its proper divisors (181264983581952).

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

63153372052800 is a wasteful number, since it uses less digits than its factorization.

63153372052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45696 (or 45678 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Adding to 63153372052800 its reverse (825027335136), we get a palindrome (63978399387936).

The spelling of 63153372052800 in words is "sixty-three trillion, one hundred fifty-three billion, three hundred seventy-two million, fifty-two thousand, eight hundred".