2153170080000 has 720 divisors, whose sum is σ = 7980159781440. Its totient is φ = 572479488000.

The previous prime is 2153170079947. The next prime is 2153170080079. The reversal of 2153170080000 is 800713512.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2153170080000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2259359524 + ... + 2259360476.

It is an arithmetic number, because the mean of its divisors is an integer number (11083555252).

Almost surely, 2^{2153170080000} is an apocalyptic number.

2153170080000 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 2153170080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990079890720).

2153170080000 is an abundant number, since it is smaller than the sum of its proper divisors (5826989701440).

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

2153170080000 is an frugal number, since it uses more digits than its factorization.

2153170080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 2153170080000 its reverse (800713512), we get a palindrome (2153970793512).

The spelling of 2153170080000 in words is "two trillion, one hundred fifty-three billion, one hundred seventy million, eighty thousand".