53419444125600 has 576 divisors, whose sum is σ = 210201010274304. Its totient is φ = 11519285944320.

The previous prime is 53419444125583. The next prime is 53419444125613. The reversal of 53419444125600 is 652144491435.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53419444125600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27260289 + ... + 29154111.

It is an arithmetic number, because the mean of its divisors is an integer number (364932309504).

Almost surely, 2^{53419444125600} is an apocalyptic number.

53419444125600 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 53419444125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105100505137152).

53419444125600 is an abundant number, since it is smaller than the sum of its proper divisors (156781566148704).

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

53419444125600 is a wasteful number, since it uses less digits than its factorization.

53419444125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893949 (or 1893936 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 53419444125600 in words is "fifty-three trillion, four hundred nineteen billion, four hundred forty-four million, one hundred twenty-five thousand, six hundred".