53258666400 has 360 divisors, whose sum is σ = 195546171744. Its totient is φ = 14105664000.

The previous prime is 53258666389. The next prime is 53258666437. The reversal of 53258666400 is 466685235.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 9782079 + ... + 9787521.

Almost surely, 2^53258666400 is an apocalyptic number.

53258666400 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 53258666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97773085872).

53258666400 is an abundant number, since it is smaller than the sum of its proper divisors (142287505344).

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

53258666400 is a wasteful number, since it uses less digits than its factorization.

53258666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 53258666400 in words is "fifty-three billion, two hundred fifty-eight million, six hundred sixty-six thousand, four hundred".