53408702400 has 168 divisors, whose sum is σ = 175862010480. Its totient is φ = 14190551040.

The previous prime is 53408702371. The next prime is 53408702401. The reversal of 53408702400 is 420780435.

53408702400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53408702401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309516 + ... + 1349684.

Almost surely, 2^53408702400 is an apocalyptic number.

53408702400 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 53408702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87931005240).

53408702400 is an abundant number, since it is smaller than the sum of its proper divisors (122453308080).

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

53408702400 is a wasteful number, since it uses less digits than its factorization.

53408702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40471 (or 40456 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 53408702400 in words is "fifty-three billion, four hundred eight million, seven hundred two thousand, four hundred".