53575258464 has 960 divisors, whose sum is σ = 212446789632. Its totient is φ = 12839731200.

The previous prime is 53575258463. The next prime is 53575258489. The reversal of 53575258464 is 46485257535.

53575258464 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 52 + 584 + 6 + 4 = 666.

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

Its product of digits (20160000) is a multiple of the sum of its prime divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 53575258464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53575258463) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124304329 + ... + 124304759.

Almost surely, 2^53575258464 is an apocalyptic number.

53575258464 is a gapful number since it is divisible by the number (54) 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 53575258464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106223394816).

53575258464 is an abundant number, since it is smaller than the sum of its proper divisors (158871531168).

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

53575258464 is a wasteful number, since it uses less digits than its factorization.

53575258464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 53575258464 in words is "fifty-three billion, five hundred seventy-five million, two hundred fifty-eight thousand, four hundred sixty-four".