2551095117900 has 1728 divisors, whose sum is σ = 10808028241920. Its totient is φ = 489104179200.

The previous prime is 2551095117899. The next prime is 2551095117913. The reversal of 2551095117900 is 97115901552.

It is a happy number.

2551095117900 is a `hidden beast` number, since 2 + 55 + 10 + 9 + 511 + 79 + 0 + 0 = 666.

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

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 575 ways as a sum of consecutive naturals, for example, 2334029754 + ... + 2334030846.

Almost surely, 2^{2551095117900} is an apocalyptic number.

2551095117900 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 2551095117900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404014120960).

2551095117900 is an abundant number, since it is smaller than the sum of its proper divisors (8256933124020).

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

2551095117900 is a wasteful number, since it uses less digits than its factorization.

2551095117900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 45.

The spelling of 2551095117900 in words is "two trillion, five hundred fifty-one billion, ninety-five million, one hundred seventeen thousand, nine hundred".