156480022540800 has 960 divisors, whose sum is σ = 674150021994240. Its totient is φ = 34800170434560.

The previous prime is 156480022540729. The next prime is 156480022540823. The reversal of 156480022540800 is 8045220084651.

156480022540800 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 8 + 0 + 0 + 22 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 88636312 + ... + 90384488.

It is an arithmetic number, because the mean of its divisors is an integer number (702239606244).

Almost surely, 2^{156480022540800} is an apocalyptic number.

156480022540800 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 156480022540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337075010997120).

156480022540800 is an abundant number, since it is smaller than the sum of its proper divisors (517669999453440).

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

156480022540800 is a wasteful number, since it uses less digits than its factorization.

156480022540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748258 (or 1748231 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 156480022540800 in words is "one hundred fifty-six trillion, four hundred eighty billion, twenty-two million, five hundred forty thousand, eight hundred".