2553911881920 has 1568 divisors, whose sum is σ = 11087538619392. Its totient is φ = 547408502784.

The previous prime is 2553911881877. The next prime is 2553911881933. The reversal of 2553911881920 is 291881193552.

2553911881920 is a `hidden beast` number, since 2 + 5 + 539 + 1 + 1 + 8 + 81 + 9 + 20 = 666.

It is a super-2 number, since 2×2553911881920² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1990577599 + ... + 1990578881.

Almost surely, 2^{2553911881920} is an apocalyptic number.

2553911881920 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 2553911881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543769309696).

2553911881920 is an abundant number, since it is smaller than the sum of its proper divisors (8533626737472).

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

2553911881920 is a wasteful number, since it uses less digits than its factorization.

2553911881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 2553911881920 in words is "two trillion, five hundred fifty-three billion, nine hundred eleven million, eight hundred eighty-one thousand, nine hundred twenty".