53965630080 has 768 divisors, whose sum is σ = 207616348800. Its totient is φ = 13237862400.

The previous prime is 53965630063. The next prime is 53965630097. The reversal of 53965630080 is 8003656935.

53965630080 is a `hidden beast` number, since 5 + 3 + 9 + 6 + 5 + 630 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53965630063) and next prime (53965630097).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255761175 + ... + 255761385.

Almost surely, 2^53965630080 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 53965630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103808174400).

53965630080 is an abundant number, since it is smaller than the sum of its proper divisors (153650718720).

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

53965630080 is a wasteful number, since it uses less digits than its factorization.

53965630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 53965630080 in words is "fifty-three billion, nine hundred sixty-five million, six hundred thirty thousand, eighty".