525525073920 has 720 divisors, whose sum is σ = 2271536362368. Its totient is φ = 109188218880.

The previous prime is 525525073919. The next prime is 525525073943. The reversal of 525525073920 is 29370525525.

525525073920 is a `hidden beast` number, since 5 + 2 + 5 + 5 + 250 + 7 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56765932 + ... + 56775188.

Almost surely, 2^525525073920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525525073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135768181184).

525525073920 is an abundant number, since it is smaller than the sum of its proper divisors (1746011288448).

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

525525073920 is a wasteful number, since it uses less digits than its factorization.

525525073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 525525073920 in words is "five hundred twenty-five billion, five hundred twenty-five million, seventy-three thousand, nine hundred twenty".