155852263008 has 288 divisors, whose sum is σ = 488470862880. Its totient is φ = 46840135680.

The previous prime is 155852263003. The next prime is 155852263031. The reversal of 155852263008 is 800362258551.

155852263008 is a `hidden beast` number, since 1 + 5 + 5 + 8 + 5 + 2 + 2 + 630 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155852263003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47820483 + ... + 47823741.

It is an arithmetic number, because the mean of its divisors is an integer number (1696079385).

Almost surely, 2^155852263008 is an apocalyptic number.

155852263008 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 155852263008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244235431440).

155852263008 is an abundant number, since it is smaller than the sum of its proper divisors (332618599872).

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

155852263008 is a wasteful number, since it uses less digits than its factorization.

155852263008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 155852263008 in words is "one hundred fifty-five billion, eight hundred fifty-two million, two hundred sixty-three thousand, eight".