2553109796064 has 24 divisors (see below), whose sum is σ = 6701913214920. Its totient is φ = 851036598656.

The previous prime is 2553109796063. The next prime is 2553109796101. The reversal of 2553109796064 is 4606979013552.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 2553109795995 and 2553109796013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553109796063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13297446759 + ... + 13297446950.

It is an arithmetic number, because the mean of its divisors is an integer number (279246383955).

Almost surely, 2^{2553109796064} is an apocalyptic number.

2553109796064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2553109796064 is an abundant number, since it is smaller than the sum of its proper divisors (4148803418856).

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

2553109796064 is a wasteful number, since it uses less digits than its factorization.

2553109796064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26594893722 (or 26594893714 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 2553109796064 in words is "two trillion, five hundred fifty-three billion, one hundred nine million, seven hundred ninety-six thousand, sixty-four".