2551768652160 has 1024 divisors, whose sum is σ = 11233922918400. Its totient is φ = 533031321600.

The previous prime is 2551768652159. The next prime is 2551768652177. The reversal of 2551768652160 is 612568671552.

2551768652160 is a `hidden beast` number, since 2 + 5 + 51 + 7 + 6 + 8 + 6 + 521 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2551768652097 and 2551768652106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158812447 + ... + 158828513.

It is an arithmetic number, because the mean of its divisors is an integer number (10970627850).

Almost surely, 2^{2551768652160} is an apocalyptic number.

2551768652160 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 2551768652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616961459200).

2551768652160 is an abundant number, since it is smaller than the sum of its proper divisors (8682154266240).

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

2551768652160 is a wasteful number, since it uses less digits than its factorization.

2551768652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16216 (or 16198 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 2551768652160 in words is "two trillion, five hundred fifty-one billion, seven hundred sixty-eight million, six hundred fifty-two thousand, one hundred sixty".