155095200280800 has 1728 divisors, whose sum is σ = 621416607791616. Its totient is φ = 36133326028800.

The previous prime is 155095200280789. The next prime is 155095200280807. The reversal of 155095200280800 is 8082002590551.

It is a happy number.

155095200280800 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 95 + 200 + 280 + 80 + 0 = 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 (155095200280807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54286032972 + ... + 54286035828.

It is an arithmetic number, because the mean of its divisors is an integer number (359616092472).

Almost surely, 2^{155095200280800} is an apocalyptic number.

155095200280800 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 155095200280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310708303895808).

155095200280800 is an abundant number, since it is smaller than the sum of its proper divisors (466321407510816).

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

155095200280800 is a wasteful number, since it uses less digits than its factorization.

155095200280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 155095200280800 in words is "one hundred fifty-five trillion, ninety-five billion, two hundred million, two hundred eighty thousand, eight hundred".