7950509752900 has 144 divisors (see below), whose sum is σ = 20274602217408. Its totient is φ = 2667938112000.

The previous prime is 7950509752897. The next prime is 7950509752921. The reversal of 7950509752900 is 92579050597.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50987454 + ... + 51143146.

It is an arithmetic number, because the mean of its divisors is an integer number (140795848732).

Almost surely, 2^{7950509752900} 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 7950509752900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137301108704).

7950509752900 is an abundant number, since it is smaller than the sum of its proper divisors (12324092464508).

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

7950509752900 is a wasteful number, since it uses less digits than its factorization.

7950509752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159302 (or 159295 counting only the distinct ones).

The product of its (nonzero) digits is 8930250, while the sum is 58.

The spelling of 7950509752900 in words is "seven trillion, nine hundred fifty billion, five hundred nine million, seven hundred fifty-two thousand, nine hundred".