25730763502500 has 405 divisors, whose sum is σ = 94565182182471. Its totient is φ = 5880099960000.

The previous prime is 25730763502453. The next prime is 25730763502531. The reversal of 25730763502500 is 520536703752.

The square root of 25730763502500 is 5072550.

It is a perfect power (a square), and thus also a powerful number.

25730763502500 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 0 + 7 + 635 + 0 + 2 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2017291858596 + 23713471643904 = 1420314^2 + 4869648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5326175085 + ... + 5326179915.

Almost surely, 2^{25730763502500} is an apocalyptic number.

25730763502500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25730763502500 is the 5072550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25730763502500

25730763502500 is an abundant number, since it is smaller than the sum of its proper divisors (68834418679971).

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

25730763502500 is an frugal number, since it uses more digits than its factorization.

25730763502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 25730763502500 in words is "twenty-five trillion, seven hundred thirty billion, seven hundred sixty-three million, five hundred two thousand, five hundred".