2151960093360 has 1200 divisors, whose sum is σ = 9797710906368. Its totient is φ = 427693685760.

The previous prime is 2151960093347. The next prime is 2151960093379. The reversal of 2151960093360 is 633900691512.

2151960093360 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 9 + 600 + 9 + 3 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 126228357 + ... + 126245403.

Almost surely, 2^{2151960093360} is an apocalyptic number.

2151960093360 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 2151960093360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898855453184).

2151960093360 is an abundant number, since it is smaller than the sum of its proper divisors (7645750813008).

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

2151960093360 is a wasteful number, since it uses less digits than its factorization.

2151960093360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17124 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 2151960093360 in words is "two trillion, one hundred fifty-one billion, nine hundred sixty million, ninety-three thousand, three hundred sixty".