155092008960 has 1260 divisors, whose sum is σ = 661419064908. Its totient is φ = 34780741632.

The previous prime is 155092008959. The next prime is 155092008989. The reversal of 155092008960 is 69800290551.

155092008960 is a `hidden beast` number, since 1 + 5 + 509 + 2 + 0 + 0 + 89 + 60 = 666.

155092008960 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 84276412416 + 70815596544 = 290304^2 + 266112^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2926264294 + ... + 2926264346.

Almost surely, 2^155092008960 is an apocalyptic number.

155092008960 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 155092008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330709532454).

155092008960 is an abundant number, since it is smaller than the sum of its proper divisors (506327055948).

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

155092008960 is an frugal number, since it uses more digits than its factorization.

155092008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 155092008960 in words is "one hundred fifty-five billion, ninety-two million, eight thousand, nine hundred sixty".