53964549120 has 352 divisors, whose sum is σ = 177426754560. Its totient is φ = 13993574400.

The previous prime is 53964549103. The next prime is 53964549139. The reversal of 53964549120 is 2194546935.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53964549120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122925861 + ... + 122926299.

It is an arithmetic number, because the mean of its divisors is an integer number (504053280).

Almost surely, 2^53964549120 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 53964549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88713377280).

53964549120 is an abundant number, since it is smaller than the sum of its proper divisors (123462205440).

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

53964549120 is a wasteful number, since it uses less digits than its factorization.

53964549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 53964549120 in words is "fifty-three billion, nine hundred sixty-four million, five hundred forty-nine thousand, one hundred twenty".