527264870400 has 936 divisors, whose sum is σ = 1959827281776. Its totient is φ = 135423590400.

The previous prime is 527264870389. The next prime is 527264870437. The reversal of 527264870400 is 4078462725.

It is a happy number.

527264870400 is a `hidden beast` number, since 52 + 72 + 64 + 8 + 70 + 400 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4666060744 + ... + 4666060856.

It is an arithmetic number, because the mean of its divisors is an integer number (2093832566).

Almost surely, 2^527264870400 is an apocalyptic number.

527264870400 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 527264870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979913640888).

527264870400 is an abundant number, since it is smaller than the sum of its proper divisors (1432562411376).

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

527264870400 is a wasteful number, since it uses less digits than its factorization.

527264870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 527264870400 in words is "five hundred twenty-seven billion, two hundred sixty-four million, eight hundred seventy thousand, four hundred".