155492725096800 has 2016 divisors, whose sum is σ = 703613610346752. Its totient is φ = 32660200304640.

The previous prime is 155492725096721. The next prime is 155492725096801. The reversal of 155492725096800 is 8690527294551.

155492725096800 is a `hidden beast` number, since 1 + 5 + 5 + 49 + 2 + 7 + 2 + 509 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155492725096801) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12047155947 + ... + 12047168853.

It is an arithmetic number, because the mean of its divisors is an integer number (349014687672).

Almost surely, 2^{155492725096800} is an apocalyptic number.

155492725096800 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 155492725096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351806805173376).

155492725096800 is an abundant number, since it is smaller than the sum of its proper divisors (548120885249952).

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

155492725096800 is a wasteful number, since it uses less digits than its factorization.

155492725096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13192 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 155492725096800 in words is "one hundred fifty-five trillion, four hundred ninety-two billion, seven hundred twenty-five million, ninety-six thousand, eight hundred".