2553098940000 has 2160 divisors, whose sum is σ = 11172333908736. Its totient is φ = 571536000000.

The previous prime is 2553098939983. The next prime is 2553098940017. The reversal of 2553098940000 is 498903552.

2553098940000 is a `hidden beast` number, since 2 + 553 + 0 + 9 + 8 + 94 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2553098939983) and next prime (2553098940017).

It is a tau number, because it is divible by the number of its divisors (2160).

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 (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 16907939925 + ... + 16907940075.

Almost surely, 2^{2553098940000} is an apocalyptic number.

2553098940000 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 2553098940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586166954368).

2553098940000 is an abundant number, since it is smaller than the sum of its proper divisors (8619234968736).

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

2553098940000 is an equidigital number, since it uses as much as digits as its factorization.

2553098940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2553098940000 in words is "two trillion, five hundred fifty-three billion, ninety-eight million, nine hundred forty thousand".