53153628262560 has 1152 divisors, whose sum is σ = 225482259824640. Its totient is φ = 11127120076800.

The previous prime is 53153628262513. The next prime is 53153628262607. The reversal of 53153628262560 is 6526282635135.

53153628262560 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 3 + 6 + 2 + 8 + 2 + 625 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53153628262513) and next prime (53153628262607).

It is a junction number, because it is equal to n+sod(n) for n = 53153628262497 and 53153628262506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6489268065 + ... + 6489276255.

It is an arithmetic number, because the mean of its divisors is an integer number (195731128320).

Almost surely, 2^{53153628262560} 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 53153628262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112741129912320).

53153628262560 is an abundant number, since it is smaller than the sum of its proper divisors (172328631562080).

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

53153628262560 is a wasteful number, since it uses less digits than its factorization.

53153628262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9362 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 53153628262560 in words is "fifty-three trillion, one hundred fifty-three billion, six hundred twenty-eight million, two hundred sixty-two thousand, five hundred sixty".