2553388435840 has 128 divisors (see below), whose sum is σ = 6660053280000. Its totient is φ = 928374896640.

The previous prime is 2553388435789. The next prime is 2553388435853. The reversal of 2553388435840 is 485348833552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60515871 + ... + 60558049.

It is an arithmetic number, because the mean of its divisors is an integer number (52031666250).

Almost surely, 2^{2553388435840} is an apocalyptic number.

2553388435840 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 2553388435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330026640000).

2553388435840 is an abundant number, since it is smaller than the sum of its proper divisors (4106664844160).

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

2553388435840 is a wasteful number, since it uses less digits than its factorization.

2553388435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50808 (or 50796 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 58.

The spelling of 2553388435840 in words is "two trillion, five hundred fifty-three billion, three hundred eighty-eight million, four hundred thirty-five thousand, eight hundred forty".