63125777952 has 384 divisors, whose sum is σ = 199753102080. Its totient is φ = 19564167168.

The previous prime is 63125777947. The next prime is 63125777963. The reversal of 63125777952 is 25977752136.

63125777952 is a `hidden beast` number, since 6 + 3 + 12 + 577 + 7 + 9 + 52 = 666.

63125777952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115403343 + ... + 115403889.

It is an arithmetic number, because the mean of its divisors is an integer number (520190370).

Almost surely, 2^63125777952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63125777952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99876551040).

63125777952 is an abundant number, since it is smaller than the sum of its proper divisors (136627324128).

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

63125777952 is an equidigital number, since it uses as much as digits as its factorization.

63125777952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 666 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The spelling of 63125777952 in words is "sixty-three billion, one hundred twenty-five million, seven hundred seventy-seven thousand, nine hundred fifty-two".