525761996000472 has 1280 divisors, whose sum is σ = 1913661560954880. Its totient is φ = 130876126617600.

The previous prime is 525761996000393. The next prime is 525761996000477. The reversal of 525761996000472 is 274000699167525.

525761996000472 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 6 + 19 + 9 + 600 + 0 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525761996000477) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76010115958 + ... + 76010122874.

It is an arithmetic number, because the mean of its divisors is an integer number (1495048094496).

Almost surely, 2^{525761996000472} 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 525761996000472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956830780477440).

525761996000472 is an abundant number, since it is smaller than the sum of its proper divisors (1387899564954408).

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

525761996000472 is a wasteful number, since it uses less digits than its factorization.

525761996000472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 525761996000472 in words is "five hundred twenty-five trillion, seven hundred sixty-one billion, nine hundred ninety-six million, four hundred seventy-two", and thus it is an aban number.