2153375417088 has 216 divisors, whose sum is σ = 7185493952000. Its totient is φ = 607461783552.

The previous prime is 2153375417087. The next prime is 2153375417093. The reversal of 2153375417088 is 8807145733512.

2153375417088 is a `hidden beast` number, since 2 + 15 + 3 + 3 + 7 + 541 + 7 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (2153375417087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429063 + ... + 2119161.

Almost surely, 2^{2153375417088} is an apocalyptic number.

2153375417088 is a gapful number since it is divisible by the number (28) 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 2153375417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592746976000).

2153375417088 is an abundant number, since it is smaller than the sum of its proper divisors (5032118534912).

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

2153375417088 is a wasteful number, since it uses less digits than its factorization.

2153375417088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690207 (or 1690190 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2153375417088 in words is "two trillion, one hundred fifty-three billion, three hundred seventy-five million, four hundred seventeen thousand, eighty-eight".