7953857534448 has 180 divisors, whose sum is σ = 26010121370688. Its totient is φ = 2262339555840.

The previous prime is 7953857534431. The next prime is 7953857534477. The reversal of 7953857534448 is 8444357583597.

7953857534448 is a `hidden beast` number, since 7 + 9 + 5 + 3 + 8 + 575 + 3 + 4 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 953973 + ... + 4100948.

Almost surely, 2^{7953857534448} 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 7953857534448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005060685344).

7953857534448 is an abundant number, since it is smaller than the sum of its proper divisors (18056263836240).

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

7953857534448 is a wasteful number, since it uses less digits than its factorization.

7953857534448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055172 (or 5055156 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 7953857534448 in words is "seven trillion, nine hundred fifty-three billion, eight hundred fifty-seven million, five hundred thirty-four thousand, four hundred forty-eight".