7953850640100 has 864 divisors, whose sum is σ = 26206824878080. Its totient is φ = 1853953920000.

The previous prime is 7953850640053. The next prime is 7953850640123. The reversal of 7953850640100 is 10460583597.

It is a self number, because there is not a number n which added to its sum of digits gives 7953850640100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60716417035 + ... + 60716417165.

Almost surely, 2^{7953850640100} 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 7953850640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103412439040).

7953850640100 is an abundant number, since it is smaller than the sum of its proper divisors (18252974237980).

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

7953850640100 is a wasteful number, since it uses less digits than its factorization.

7953850640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 7953850640100 in words is "seven trillion, nine hundred fifty-three billion, eight hundred fifty million, six hundred forty thousand, one hundred".