952049558880 has 288 divisors, whose sum is σ = 3908414764800. Its totient is φ = 206158058496.

The previous prime is 952049558849. The next prime is 952049558891. The reversal of 952049558880 is 88855940259.

952049558880 is a `hidden beast` number, since 9 + 5 + 2 + 0 + 49 + 5 + 588 + 8 + 0 = 666.

952049558880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2293990 + ... + 2677029.

It is an arithmetic number, because the mean of its divisors is an integer number (13570884600).

Almost surely, 2^952049558880 is an apocalyptic number.

952049558880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

952049558880 is an abundant number, since it is smaller than the sum of its proper divisors (2956365205920).

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

952049558880 is a wasteful number, since it uses less digits than its factorization.

952049558880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971066 (or 4971055 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 952049558880 in words is "nine hundred fifty-two billion, forty-nine million, five hundred fifty-eight thousand, eight hundred eighty".