525374700480 has 896 divisors, whose sum is σ = 2161846425600. Its totient is φ = 117631844352.

The previous prime is 525374700479. The next prime is 525374700481. The reversal of 525374700480 is 84007473525.

525374700480 is a `hidden beast` number, since 5 + 2 + 537 + 4 + 70 + 0 + 48 + 0 = 666.

525374700480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (525374700479) and next prime (525374700481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525374700481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1284534516 + ... + 1284534924.

Almost surely, 2^525374700480 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 525374700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080923212800).

525374700480 is an abundant number, since it is smaller than the sum of its proper divisors (1636471725120).

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

525374700480 is a wasteful number, since it uses less digits than its factorization.

525374700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 525374700480 in words is "five hundred twenty-five billion, three hundred seventy-four million, seven hundred thousand, four hundred eighty".