53749130400 has 1296 divisors, whose sum is σ = 240054010560. Its totient is φ = 11048140800.

The previous prime is 53749130389. The next prime is 53749130471. The reversal of 53749130400 is 403194735.

53749130400 is a `hidden beast` number, since 53 + 74 + 9 + 130 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1310954380 + ... + 1310954420.

It is an arithmetic number, because the mean of its divisors is an integer number (185226860).

Almost surely, 2^53749130400 is an apocalyptic number.

53749130400 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 53749130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120027005280).

53749130400 is an abundant number, since it is smaller than the sum of its proper divisors (186304880160).

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

53749130400 is a wasteful number, since it uses less digits than its factorization.

53749130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 53749130400 in words is "fifty-three billion, seven hundred forty-nine million, one hundred thirty thousand, four hundred".