156506153287680 has 1824 divisors, whose sum is σ = 685523287972800. Its totient is φ = 33662208835584.

The previous prime is 156506153287639. The next prime is 156506153287739. The reversal of 156506153287680 is 86782351605651.

156506153287680 is a `hidden beast` number, since 1 + 5 + 6 + 5 + 0 + 615 + 3 + 2 + 8 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29479400866 + ... + 29479406174.

It is an arithmetic number, because the mean of its divisors is an integer number (375835135950).

Almost surely, 2^{156506153287680} is an apocalyptic number.

156506153287680 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 156506153287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342761643986400).

156506153287680 is an abundant number, since it is smaller than the sum of its proper divisors (529017134685120).

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

156506153287680 is an frugal number, since it uses more digits than its factorization.

156506153287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 156506153287680 in words is "one hundred fifty-six trillion, five hundred six billion, one hundred fifty-three million, two hundred eighty-seven thousand, six hundred eighty".