63095093597952 has 864 divisors, whose sum is σ = 206473725319680. Its totient is φ = 18394931036160.

The previous prime is 63095093597917. The next prime is 63095093597957. The reversal of 63095093597952 is 25979539059036.

63095093597952 is a `hidden beast` number, since 6 + 30 + 9 + 509 + 35 + 9 + 7 + 9 + 52 = 666.

It is a super-2 number, since 2×63095093597952² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63095093597957) 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, 13999352883 + ... + 13999357389.

It is an arithmetic number, because the mean of its divisors is an integer number (238974219120).

Almost surely, 2^{63095093597952} 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 63095093597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103236862659840).

63095093597952 is an abundant number, since it is smaller than the sum of its proper divisors (143378631721728).

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

63095093597952 is a wasteful number, since it uses less digits than its factorization.

63095093597952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 620014500, while the sum is 72.

The spelling of 63095093597952 in words is "sixty-three trillion, ninety-five billion, ninety-three million, five hundred ninety-seven thousand, nine hundred fifty-two".