150505094401200 has 2160 divisors, whose sum is σ = 709528777251840. Its totient is φ = 30264627456000.

The previous prime is 150505094401199. The next prime is 150505094401247. The reversal of 150505094401200 is 2104490505051.

150505094401200 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 0 + 5 + 0 + 9 + 440 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×150505094401200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1624068466 + ... + 1624161134.

It is an arithmetic number, because the mean of its divisors is an integer number (328485545024).

Almost surely, 2^{150505094401200} is an apocalyptic number.

150505094401200 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 150505094401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354764388625920).

150505094401200 is an abundant number, since it is smaller than the sum of its proper divisors (559023682850640).

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

150505094401200 is a wasteful number, since it uses less digits than its factorization.

150505094401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92758 (or 92728 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 150505094401200 in words is "one hundred fifty trillion, five hundred five billion, ninety-four million, four hundred one thousand, two hundred".