2551893710076 has 144 divisors (see below), whose sum is σ = 6692188339200. Its totient is φ = 819458985600.

The previous prime is 2551893710033. The next prime is 2551893710081. The reversal of 2551893710076 is 6700173981552.

2551893710076 is a `hidden beast` number, since 2 + 551 + 8 + 9 + 3 + 7 + 10 + 0 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35075505 + ... + 35148183.

Almost surely, 2^{2551893710076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551893710076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346094169600).

2551893710076 is an abundant number, since it is smaller than the sum of its proper divisors (4140294629124).

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

2551893710076 is a wasteful number, since it uses less digits than its factorization.

2551893710076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73080 (or 73075 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 2551893710076 in words is "two trillion, five hundred fifty-one billion, eight hundred ninety-three million, seven hundred ten thousand, seventy-six".