53124154400 has 144 divisors (see below), whose sum is σ = 134131415040. Its totient is φ = 20524492800.

The previous prime is 53124154387. The next prime is 53124154463. The reversal of 53124154400 is 445142135.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15051836 + ... + 15055364.

It is an arithmetic number, because the mean of its divisors is an integer number (931468160).

Almost surely, 2^53124154400 is an apocalyptic number.

53124154400 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 53124154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67065707520).

53124154400 is an abundant number, since it is smaller than the sum of its proper divisors (81007260640).

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

53124154400 is a wasteful number, since it uses less digits than its factorization.

53124154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 53124154400 its reverse (445142135), we get a palindrome (53569296535).

The spelling of 53124154400 in words is "fifty-three billion, one hundred twenty-four million, one hundred fifty-four thousand, four hundred".