2253120135552 has 1152 divisors, whose sum is σ = 8071775712000. Its totient is φ = 596845117440.

The previous prime is 2253120135523. The next prime is 2253120135557. The reversal of 2253120135552 is 2555310213522.

2253120135552 is a `hidden beast` number, since 2 + 2 + 53 + 1 + 20 + 1 + 35 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253120135557) 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, 7339153383 + ... + 7339153689.

It is an arithmetic number, because the mean of its divisors is an integer number (7006749750).

Almost surely, 2^{2253120135552} is an apocalyptic number.

2253120135552 is a gapful number since it is divisible by the number (22) 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 2253120135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035887856000).

2253120135552 is an abundant number, since it is smaller than the sum of its proper divisors (5818655576448).

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

2253120135552 is a wasteful number, since it uses less digits than its factorization.

2253120135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2253120135552 in words is "two trillion, two hundred fifty-three billion, one hundred twenty million, one hundred thirty-five thousand, five hundred fifty-two".