9365252472900 has 405 divisors, whose sum is σ = 31235111026119. Its totient is φ = 2427259271040.

The previous prime is 9365252472893. The next prime is 9365252472907. The reversal of 9365252472900 is 92742525639.

The square root of 9365252472900 is 3060270.

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

9365252472900 is a `hidden beast` number, since 9 + 3 + 6 + 525 + 24 + 7 + 2 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9365252472893) and next prime (9365252472907).

It can be written as a sum of positive squares in 4 ways, for example, as 889049095236 + 8476203377664 = 942894^2 + 2911392^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9365252472907) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10190698641 + ... + 10190699559.

Almost surely, 2^{9365252472900} is an apocalyptic number.

9365252472900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9365252472900 is the 3060270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9365252472900

9365252472900 is an abundant number, since it is smaller than the sum of its proper divisors (21869858553219).

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

9365252472900 is an equidigital number, since it uses as much as digits as its factorization.

9365252472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 9365252472900 in words is "nine trillion, three hundred sixty-five billion, two hundred fifty-two million, four hundred seventy-two thousand, nine hundred".