2158151688000 has 3360 divisors, whose sum is σ = 10467974829312. Its totient is φ = 433714176000.

The previous prime is 2158151687959. The next prime is 2158151688029. The reversal of 2158151688000 is 8861518512.

2158151688000 is a `hidden beast` number, since 2 + 1 + 58 + 1 + 516 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12923063917 + ... + 12923064083.

Almost surely, 2^{2158151688000} is an apocalyptic number.

2158151688000 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 2158151688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233987414656).

2158151688000 is an abundant number, since it is smaller than the sum of its proper divisors (8309823141312).

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

2158151688000 is a wasteful number, since it uses less digits than its factorization.

2158151688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 2158151688000 in words is "two trillion, one hundred fifty-eight billion, one hundred fifty-one million, six hundred eighty-eight thousand".