2552393777160 has 128 divisors (see below), whose sum is σ = 7845882912000. Its totient is φ = 663873085440.

The previous prime is 2552393777113. The next prime is 2552393777179. The reversal of 2552393777160 is 617773932552.

It is a self number, because there is not a number n which added to its sum of digits gives 2552393777160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20488741 + ... + 20612939.

It is an arithmetic number, because the mean of its divisors is an integer number (61295960250).

Almost surely, 2^{2552393777160} is an apocalyptic number.

2552393777160 is a gapful number since it is divisible by the number (20) 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 2552393777160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922941456000).

2552393777160 is an abundant number, since it is smaller than the sum of its proper divisors (5293489134840).

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

2552393777160 is a wasteful number, since it uses less digits than its factorization.

2552393777160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128431 (or 128427 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 57.

The spelling of 2552393777160 in words is "two trillion, five hundred fifty-two billion, three hundred ninety-three million, seven hundred seventy-seven thousand, one hundred sixty".