156890653920 has 2304 divisors, whose sum is σ = 771436431360. Its totient is φ = 29262643200.

The previous prime is 156890653889. The next prime is 156890653939. The reversal of 156890653920 is 29356098651.

It is a happy number.

156890653920 is a `hidden beast` number, since 1 + 5 + 6 + 89 + 0 + 6 + 539 + 20 = 666.

It is a super-2 number, since 2×156890653920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2149187004 + ... + 2149187076.

It is an arithmetic number, because the mean of its divisors is an integer number (334824840).

Almost surely, 2^156890653920 is an apocalyptic number.

156890653920 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 156890653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385718215680).

156890653920 is an abundant number, since it is smaller than the sum of its proper divisors (614545777440).

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

156890653920 is a wasteful number, since it uses less digits than its factorization.

156890653920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 156890653920 in words is "one hundred fifty-six billion, eight hundred ninety million, six hundred fifty-three thousand, nine hundred twenty".