53023242400 has 36 divisors (see below), whose sum is σ = 129442992462. Its totient is φ = 21209296640.

The previous prime is 53023242379. The next prime is 53023242421. The reversal of 53023242400 is 424232035.

It is an interprime number because it is at equal distance from previous prime (53023242379) and next prime (53023242421).

It can be written as a sum of positive squares in 3 ways, for example, as 48447531664 + 4575710736 = 220108^2 + 67644^2 .

It is a super-2 number, since 2×53023242400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33138727 + ... + 33140326.

Almost surely, 2^53023242400 is an apocalyptic number.

53023242400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53023242400 is an abundant number, since it is smaller than the sum of its proper divisors (76419750062).

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

53023242400 is a wasteful number, since it uses less digits than its factorization.

53023242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66279073 (or 66279060 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 53023242400 its reverse (424232035), we get a palindrome (53447474435).

The spelling of 53023242400 in words is "fifty-three billion, twenty-three million, two hundred forty-two thousand, four hundred".