152800878117888 has 4752 divisors, whose sum is σ = 652895150648832. Its totient is φ = 35315829964800.

The previous prime is 152800878117883. The next prime is 152800878117893. The reversal of 152800878117888 is 888711878008251.

152800878117888 is a `hidden beast` number, since 1 + 528 + 0 + 0 + 8 + 7 + 8 + 1 + 17 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (152800878117883) and next prime (152800878117893).

It is a tau number, because it is divible by the number of its divisors (4752).

It is a super-3 number, since 3×152800878117888³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (152800878117883) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 594555945856 + ... + 594555946112.

Almost surely, 2^{152800878117888} is an apocalyptic number.

152800878117888 is a gapful number since it is divisible by the number (18) 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 152800878117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326447575324416).

152800878117888 is an abundant number, since it is smaller than the sum of its proper divisors (500094272530944).

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

152800878117888 is a wasteful number, since it uses less digits than its factorization.

152800878117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 128450560, while the sum is 72.

The spelling of 152800878117888 in words is "one hundred fifty-two trillion, eight hundred billion, eight hundred seventy-eight million, one hundred seventeen thousand, eight hundred eighty-eight".