53958078720 has 2160 divisors, whose sum is σ = 260521208640. Its totient is φ = 10534551552.

The previous prime is 53958078719. The next prime is 53958078731. The reversal of 53958078720 is 2787085935.

53958078720 is a `hidden beast` number, since 5 + 39 + 580 + 7 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×53958078720² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1254839019 + ... + 1254839061.

Almost surely, 2^53958078720 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 53958078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130260604320).

53958078720 is an abundant number, since it is smaller than the sum of its proper divisors (206563129920).

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

53958078720 is a wasteful number, since it uses less digits than its factorization.

53958078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 53958078720 in words is "fifty-three billion, nine hundred fifty-eight million, seventy-eight thousand, seven hundred twenty".