2551377346560 has 2400 divisors, whose sum is σ = 11418644160000. Its totient is φ = 543114657792.

The previous prime is 2551377346451. The next prime is 2551377346649. The reversal of 2551377346560 is 656437731552.

2551377346560 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 3 + 7 + 73 + 4 + 6 + 560 = 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 = 2551377346497 and 2551377346506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43243683811 + ... + 43243683869.

It is an arithmetic number, because the mean of its divisors is an integer number (4757768400).

Almost surely, 2^{2551377346560} is an apocalyptic number.

2551377346560 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 2551377346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709322080000).

2551377346560 is an abundant number, since it is smaller than the sum of its proper divisors (8867266813440).

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

2551377346560 is an frugal number, since it uses more digits than its factorization.

2551377346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 2551377346560 in words is "two trillion, five hundred fifty-one billion, three hundred seventy-seven million, three hundred forty-six thousand, five hundred sixty".