155271729600 has 672 divisors, whose sum is σ = 613935150080. Its totient is φ = 37946880000.

The previous prime is 155271729551. The next prime is 155271729607. The reversal of 155271729600 is 6927172551.

155271729600 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 7 + 17 + 29 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155271729607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84800685 + ... + 84802515.

Almost surely, 2^155271729600 is an apocalyptic number.

155271729600 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 155271729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306967575040).

155271729600 is an abundant number, since it is smaller than the sum of its proper divisors (458663420480).

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

155271729600 is a wasteful number, since it uses less digits than its factorization.

155271729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 155271729600 in words is "one hundred fifty-five billion, two hundred seventy-one million, seven hundred twenty-nine thousand, six hundred".