2552358961152 has 1632 divisors, whose sum is σ = 10308849492480. Its totient is φ = 607282790400.

The previous prime is 2552358961133. The next prime is 2552358961171. The reversal of 2552358961152 is 2511698532552.

2552358961152 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 3 + 589 + 6 + 1 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (2552358961133) and next prime (2552358961171).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19483656127 + ... + 19483656257.

Almost surely, 2^{2552358961152} is an apocalyptic number.

2552358961152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552358961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154424746240).

2552358961152 is an abundant number, since it is smaller than the sum of its proper divisors (7756490531328).

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

2552358961152 is a wasteful number, since it uses less digits than its factorization.

2552358961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 167 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The spelling of 2552358961152 in words is "two trillion, five hundred fifty-two billion, three hundred fifty-eight million, nine hundred sixty-one thousand, one hundred fifty-two".