150476404869120 has 768 divisors, whose sum is σ = 540136086497280. Its totient is φ = 35446784000000.

The previous prime is 150476404869023. The next prime is 150476404869151. The reversal of 150476404869120 is 21968404674051.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3477513085 + ... + 3477556355.

It is an arithmetic number, because the mean of its divisors is an integer number (703302195960).

Almost surely, 2^{150476404869120} is an apocalyptic number.

150476404869120 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 150476404869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270068043248640).

150476404869120 is an abundant number, since it is smaller than the sum of its proper divisors (389659681628160).

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

150476404869120 is a wasteful number, since it uses less digits than its factorization.

150476404869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43604 (or 43584 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 150476404869120 in words is "one hundred fifty trillion, four hundred seventy-six billion, four hundred four million, eight hundred sixty-nine thousand, one hundred twenty".