2551149885600 has 864 divisors, whose sum is σ = 9836106448896. Its totient is φ = 644282035200.

The previous prime is 2551149885539. The next prime is 2551149885607. The reversal of 2551149885600 is 65889411552.

2551149885600 is a `hidden beast` number, since 2 + 5 + 5 + 11 + 498 + 85 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2551149885607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283236297 + ... + 283245303.

It is an arithmetic number, because the mean of its divisors is an integer number (11384382464).

Almost surely, 2^{2551149885600} is an apocalyptic number.

2551149885600 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 2551149885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918053224448).

2551149885600 is an abundant number, since it is smaller than the sum of its proper divisors (7284956563296).

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

2551149885600 is a wasteful number, since it uses less digits than its factorization.

2551149885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 2551149885600 in words is "two trillion, five hundred fifty-one billion, one hundred forty-nine million, eight hundred eighty-five thousand, six hundred".