152885809440 has 648 divisors, whose sum is σ = 657229229748. Its totient is φ = 32254709760.

The previous prime is 152885809409. The next prime is 152885809457. The reversal of 152885809440 is 44908588251.

152885809440 is a `hidden beast` number, since 1 + 52 + 8 + 8 + 580 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 383063184 + 152502746256 = 19572^2 + 390516^2 .

It is a super-2 number, since 2×152885809440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11918230 + ... + 11931050.

Almost surely, 2^152885809440 is an apocalyptic number.

152885809440 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 152885809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328614614874).

152885809440 is an abundant number, since it is smaller than the sum of its proper divisors (504343420308).

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

152885809440 is a wasteful number, since it uses less digits than its factorization.

152885809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 152885809440 in words is "one hundred fifty-two billion, eight hundred eighty-five million, eight hundred nine thousand, four hundred forty".