525729966000 has 160 divisors (see below), whose sum is σ = 1740763697088. Its totient is φ = 136405555200.

The previous prime is 525729965953. The next prime is 525729966019. The reversal of 525729966000 is 669927525.

It is a super-2 number, since 2×525729966000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962077 + ... + 1406076.

Almost surely, 2^525729966000 is an apocalyptic number.

525729966000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

525729966000 is an abundant number, since it is smaller than the sum of its proper divisors (1215033731088).

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

525729966000 is a wasteful number, since it uses less digits than its factorization.

525729966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368216 (or 2368200 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 525729966000 in words is "five hundred twenty-five billion, seven hundred twenty-nine million, nine hundred sixty-six thousand".