152426985984 has 360 divisors, whose sum is σ = 551112421860. Its totient is φ = 40199749632.

The previous prime is 152426985943. The next prime is 152426986097. The reversal of 152426985984 is 489589624251.

152426985984 is a `hidden beast` number, since 1 + 52 + 426 + 9 + 85 + 9 + 84 = 666.

152426985984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150606086400 + 1820899584 = 388080^2 + 42672^2 .

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 35 ways as a sum of consecutive naturals, for example, 2909332 + ... + 2961260.

Almost surely, 2^152426985984 is an apocalyptic number.

152426985984 is a gapful number since it is divisible by the number (14) 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 152426985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275556210930).

152426985984 is an abundant number, since it is smaller than the sum of its proper divisors (398685435876).

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

152426985984 is a wasteful number, since it uses less digits than its factorization.

152426985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51980 (or 51954 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 152426985984 in words is "one hundred fifty-two billion, four hundred twenty-six million, nine hundred eighty-five thousand, nine hundred eighty-four".