20152046232000 has 336 divisors, whose sum is σ = 72485546899584. Its totient is φ = 5344185600000.

The previous prime is 20152046231981. The next prime is 20152046232037. The reversal of 20152046232000 is 23264025102.

It is a happy number.

20152046232000 is a `hidden beast` number, since 2 + 0 + 15 + 2 + 0 + 4 + 623 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×20152046232000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12258825 + ... + 13805175.

It is an arithmetic number, because the mean of its divisors is an integer number (215730794344).

Almost surely, 2^{20152046232000} is an apocalyptic number.

20152046232000 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 20152046232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36242773449792).

20152046232000 is an abundant number, since it is smaller than the sum of its proper divisors (52333500667584).

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

20152046232000 is a wasteful number, since it uses less digits than its factorization.

20152046232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546565 (or 1546542 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20152046232000 in words is "twenty trillion, one hundred fifty-two billion, forty-six million, two hundred thirty-two thousand".