155820672000 has 1760 divisors, whose sum is σ = 704778497280. Its totient is φ = 33443020800.

The previous prime is 155820671989. The next prime is 155820672013. The reversal of 155820672000 is 276028551.

It is a happy number.

155820672000 is a `hidden beast` number, since 1 + 5 + 582 + 0 + 6 + 72 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1378943944 + ... + 1378944056.

It is an arithmetic number, because the mean of its divisors is an integer number (400442328).

Almost surely, 2^155820672000 is an apocalyptic number.

155820672000 is a gapful number since it is divisible by the number (10) 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 155820672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352389248640).

155820672000 is an abundant number, since it is smaller than the sum of its proper divisors (548957825280).

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

155820672000 is a wasteful number, since it uses less digits than its factorization.

155820672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 155820672000 in words is "one hundred fifty-five billion, eight hundred twenty million, six hundred seventy-two thousand".