155017328256 has 1152 divisors, whose sum is σ = 591208450560. Its totient is φ = 40131624960.

The previous prime is 155017328233. The next prime is 155017328293. The reversal of 155017328256 is 652823710551.

155017328256 is a `hidden beast` number, since 1 + 5 + 501 + 73 + 28 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 803198496 + ... + 803198688.

It is an arithmetic number, because the mean of its divisors is an integer number (513201780).

Almost surely, 2^155017328256 is an apocalyptic number.

155017328256 is a gapful number since it is divisible by the number (16) 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 155017328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295604225280).

155017328256 is an abundant number, since it is smaller than the sum of its proper divisors (436191122304).

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

155017328256 is a wasteful number, since it uses less digits than its factorization.

155017328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 155017328256 in words is "one hundred fifty-five billion, seventeen million, three hundred twenty-eight thousand, two hundred fifty-six".