2152093897800 has 1536 divisors, whose sum is σ = 9599385600000. Its totient is φ = 430075008000.

The previous prime is 2152093897787. The next prime is 2152093897847. The reversal of 2152093897800 is 87983902512.

2152093897800 is a `hidden beast` number, since 2 + 1 + 520 + 9 + 38 + 9 + 7 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2565069781 + ... + 2565070619.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600000).

Almost surely, 2^{2152093897800} is an apocalyptic number.

2152093897800 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 2152093897800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800000).

2152093897800 is an abundant number, since it is smaller than the sum of its proper divisors (7447291702200).

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

2152093897800 is a wasteful number, since it uses less digits than its factorization.

2152093897800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2152093897800 in words is "two trillion, one hundred fifty-two billion, ninety-three million, eight hundred ninety-seven thousand, eight hundred".