2551616365000 has 160 divisors (see below), whose sum is σ = 6194517120000. Its totient is φ = 984410336000.

The previous prime is 2551616364929. The next prime is 2551616365063. The reversal of 2551616365000 is 5636161552.

It is a super-3 number, since 3×2551616365000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15553401 + ... + 15716599.

It is an arithmetic number, because the mean of its divisors is an integer number (38715732000).

Almost surely, 2^{2551616365000} is an apocalyptic number.

2551616365000 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 2551616365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097258560000).

2551616365000 is an abundant number, since it is smaller than the sum of its proper divisors (3642900755000).

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

2551616365000 is a wasteful number, since it uses less digits than its factorization.

2551616365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163337 (or 163318 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 2551616365000 in words is "two trillion, five hundred fifty-one billion, six hundred sixteen million, three hundred sixty-five thousand".