156406330080 has 1152 divisors, whose sum is σ = 748270172160. Its totient is φ = 29994209280.

The previous prime is 156406330007. The next prime is 156406330111. The reversal of 156406330080 is 80033604651.

156406330080 is a `hidden beast` number, since 1 + 5 + 640 + 6 + 3 + 3 + 0 + 0 + 8 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 30267657 + ... + 30272823.

It is an arithmetic number, because the mean of its divisors is an integer number (649540080).

Almost surely, 2^156406330080 is an apocalyptic number.

156406330080 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 156406330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374135086080).

156406330080 is an abundant number, since it is smaller than the sum of its proper divisors (591863842080).

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

156406330080 is a wasteful number, since it uses less digits than its factorization.

156406330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 156406330080 in words is "one hundred fifty-six billion, four hundred six million, three hundred thirty thousand, eighty".