53415028800 has 840 divisors, whose sum is σ = 227075577344. Its totient is φ = 12063375360.

The previous prime is 53415028781. The next prime is 53415028801. The reversal of 53415028800 is 882051435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is not an unprimeable number, because it can be changed into a prime (53415028801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87998097 + ... + 87998703.

Almost surely, 2^53415028800 is an apocalyptic number.

53415028800 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 53415028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113537788672).

53415028800 is an abundant number, since it is smaller than the sum of its proper divisors (173660548544).

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

53415028800 is a wasteful number, since it uses less digits than its factorization.

53415028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 53415028800 in words is "fifty-three billion, four hundred fifteen million, twenty-eight thousand, eight hundred".