63111398400 has 1056 divisors, whose sum is σ = 253300037760. Its totient is φ = 15335424000.

The previous prime is 63111398387. The next prime is 63111398401. The reversal of 63111398400 is 489311136.

63111398400 is a `hidden beast` number, since 631 + 1 + 13 + 9 + 8 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (63111398401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481766335 + ... + 481766465.

It is an arithmetic number, because the mean of its divisors is an integer number (239867460).

Almost surely, 2^63111398400 is an apocalyptic number.

63111398400 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 63111398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126650018880).

63111398400 is an abundant number, since it is smaller than the sum of its proper divisors (190188639360).

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

63111398400 is a wasteful number, since it uses less digits than its factorization.

63111398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 63111398400 in words is "sixty-three billion, one hundred eleven million, three hundred ninety-eight thousand, four hundred".