53114502400 has 108 divisors (see below), whose sum is σ = 132158041344. Its totient is φ = 21134080000.

The previous prime is 53114502391. The next prime is 53114502401. The reversal of 53114502400 is 420541135.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53114502401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1200675 + ... + 1244125.

It is an arithmetic number, because the mean of its divisors is an integer number (1223685568).

Almost surely, 2^53114502400 is an apocalyptic number.

53114502400 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 53114502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66079020672).

53114502400 is an abundant number, since it is smaller than the sum of its proper divisors (79043538944).

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

53114502400 is a wasteful number, since it uses less digits than its factorization.

53114502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43668 (or 43649 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 53114502400 in words is "fifty-three billion, one hundred fourteen million, five hundred two thousand, four hundred".