2551818615120 has 1600 divisors, whose sum is σ = 10315592331264. Its totient is φ = 580714168320.

The previous prime is 2551818615107. The next prime is 2551818615161. The reversal of 2551818615120 is 215168181552.

2551818615120 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 8 + 1 + 8 + 615 + 1 + 20 = 666.

It is a super-2 number, since 2×2551818615120² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4162835934 + ... + 4162836546.

Almost surely, 2^{2551818615120} is an apocalyptic number.

2551818615120 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 2551818615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157796165632).

2551818615120 is an abundant number, since it is smaller than the sum of its proper divisors (7763773716144).

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

2551818615120 is a wasteful number, since it uses less digits than its factorization.

2551818615120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 45.

The spelling of 2551818615120 in words is "two trillion, five hundred fifty-one billion, eight hundred eighteen million, six hundred fifteen thousand, one hundred twenty".