150809014776420 has 2592 divisors, whose sum is σ = 693575889027840. Its totient is φ = 25790541004800.

The previous prime is 150809014776419. The next prime is 150809014776451. The reversal of 150809014776420 is 24677410908051.

150809014776420 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 0 + 9 + 0 + 147 + 76 + 420 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 8322324960 + ... + 8322343080.

It is an arithmetic number, because the mean of its divisors is an integer number (267583290520).

Almost surely, 2^{150809014776420} is an apocalyptic number.

150809014776420 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 150809014776420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346787944513920).

150809014776420 is an abundant number, since it is smaller than the sum of its proper divisors (542766874251420).

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

150809014776420 is a wasteful number, since it uses less digits than its factorization.

150809014776420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18227 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 150809014776420 in words is "one hundred fifty trillion, eight hundred nine billion, fourteen million, seven hundred seventy-six thousand, four hundred twenty".