952054801152 has 288 divisors, whose sum is σ = 3122801353728. Its totient is φ = 250752319488.

The previous prime is 952054801123. The next prime is 952054801171. The reversal of 952054801152 is 251108450259.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54014613 + ... + 54032235.

It is an arithmetic number, because the mean of its divisors is an integer number (10843060256).

Almost surely, 2^952054801152 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 952054801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561400676864).

952054801152 is an abundant number, since it is smaller than the sum of its proper divisors (2170746552576).

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

952054801152 is a wasteful number, since it uses less digits than its factorization.

952054801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18435 (or 18421 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 952054801152 in words is "nine hundred fifty-two billion, fifty-four million, eight hundred one thousand, one hundred fifty-two".