2150821296000 has 1024 divisors, whose sum is σ = 8740614355200. Its totient is φ = 516464640000.

The previous prime is 2150821295977. The next prime is 2150821296007. The reversal of 2150821296000 is 6921280512.

2150821296000 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 8 + 21 + 29 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2150821296007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230251330 + ... + 230260670.

Almost surely, 2^{2150821296000} is an apocalyptic number.

2150821296000 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 2150821296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370307177600).

2150821296000 is an abundant number, since it is smaller than the sum of its proper divisors (6589793059200).

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

2150821296000 is a wasteful number, since it uses less digits than its factorization.

2150821296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2150821296000 in words is "two trillion, one hundred fifty billion, eight hundred twenty-one million, two hundred ninety-six thousand".