2152352358000 has 1280 divisors, whose sum is σ = 8585170513920. Its totient is φ = 512096256000.

The previous prime is 2152352357993. The next prime is 2152352358059. The reversal of 2152352358000 is 8532532512.

2152352358000 is a `hidden beast` number, since 2 + 1 + 5 + 23 + 52 + 3 + 580 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3411017685 + ... + 3411018315.

It is an arithmetic number, because the mean of its divisors is an integer number (6707164464).

Almost surely, 2^{2152352358000} is an apocalyptic number.

2152352358000 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 2152352358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292585256960).

2152352358000 is an abundant number, since it is smaller than the sum of its proper divisors (6432818155920).

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

2152352358000 is a wasteful number, since it uses less digits than its factorization.

2152352358000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2152352358000 in words is "two trillion, one hundred fifty-two billion, three hundred fifty-two million, three hundred fifty-eight thousand".