948052570752 has 512 divisors, whose sum is σ = 3368448000000. Its totient is φ = 262124190720.

The previous prime is 948052570733. The next prime is 948052570781. The reversal of 948052570752 is 257075250849.

948052570752 is a `hidden beast` number, since 9 + 48 + 0 + 525 + 7 + 0 + 75 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36734749 + ... + 36760547.

It is an arithmetic number, because the mean of its divisors is an integer number (6579000000).

Almost surely, 2^948052570752 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 948052570752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684224000000).

948052570752 is an abundant number, since it is smaller than the sum of its proper divisors (2420395429248).

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

948052570752 is a wasteful number, since it uses less digits than its factorization.

948052570752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25874 (or 25842 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 948052570752 in words is "nine hundred forty-eight billion, fifty-two million, five hundred seventy thousand, seven hundred fifty-two".