63096021120 has 384 divisors, whose sum is σ = 228221360640. Its totient is φ = 14800896000.

The previous prime is 63096021119. The next prime is 63096021139. The reversal of 63096021120 is 2112069036.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×63096021120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7197540 + ... + 7206300.

It is an arithmetic number, because the mean of its divisors is an integer number (594326460).

Almost surely, 2^63096021120 is an apocalyptic number.

63096021120 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 63096021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114110680320).

63096021120 is an abundant number, since it is smaller than the sum of its proper divisors (165125339520).

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

63096021120 is a wasteful number, since it uses less digits than its factorization.

63096021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 63096021120 in words is "sixty-three billion, ninety-six million, twenty-one thousand, one hundred twenty".