150581779920 has 1600 divisors, whose sum is σ = 664247485440. Its totient is φ = 31313018880.

The previous prime is 150581779913. The next prime is 150581779961. The reversal of 150581779920 is 29977185051.

150581779920 is a `hidden beast` number, since 1 + 50 + 581 + 7 + 7 + 9 + 9 + 2 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 1906098441 + ... + 1906098519.

Almost surely, 2^150581779920 is an apocalyptic number.

150581779920 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 150581779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332123742720).

150581779920 is an abundant number, since it is smaller than the sum of its proper divisors (513665705520).

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

150581779920 is a wasteful number, since it uses less digits than its factorization.

150581779920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 150581779920 in words is "one hundred fifty billion, five hundred eighty-one million, seven hundred seventy-nine thousand, nine hundred twenty".