53257708800 has 648 divisors, whose sum is σ = 203591953656. Its totient is φ = 13235650560.

The previous prime is 53257708789. The next prime is 53257708837. The reversal of 53257708800 is 880775235.

It can be written as a sum of positive squares in 12 ways, for example, as 3418039296 + 49839669504 = 58464^2 + 223248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134150202 + ... + 134150598.

Almost surely, 2^53257708800 is an apocalyptic number.

53257708800 is a gapful number since it is divisible by the number (50) 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 53257708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101795976828).

53257708800 is an abundant number, since it is smaller than the sum of its proper divisors (150334244856).

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

53257708800 is a wasteful number, since it uses less digits than its factorization.

53257708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 53257708800 in words is "fifty-three billion, two hundred fifty-seven million, seven hundred eight thousand, eight hundred".