156777023040 has 224 divisors, whose sum is σ = 555648546816. Its totient is φ = 37122570240.

The previous prime is 156777023021. The next prime is 156777023077. The reversal of 156777023040 is 40320777651.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 156777022983 and 156777023001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281449 + ... + 626711.

Almost surely, 2^156777023040 is an apocalyptic number.

156777023040 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 156777023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277824273408).

156777023040 is an abundant number, since it is smaller than the sum of its proper divisors (398871523776).

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

156777023040 is a wasteful number, since it uses less digits than its factorization.

156777023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345337 (or 345327 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 156777023040 in words is "one hundred fifty-six billion, seven hundred seventy-seven million, twenty-three thousand, forty".