150412387276800 has 3456 divisors, whose sum is σ = 636436925429760. Its totient is φ = 35166928896000.

The previous prime is 150412387276771. The next prime is 150412387276813. The reversal of 150412387276800 is 8672783214051.

150412387276800 is a `hidden beast` number, since 1 + 5 + 0 + 412 + 3 + 87 + 2 + 76 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 513352857454 + ... + 513352857746.

It is an arithmetic number, because the mean of its divisors is an integer number (184154202960).

Almost surely, 2^{150412387276800} is an apocalyptic number.

150412387276800 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 150412387276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318218462714880).

150412387276800 is an abundant number, since it is smaller than the sum of its proper divisors (486024538152960).

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

150412387276800 is an equidigital number, since it uses as much as digits as its factorization.

150412387276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 150412387276800 in words is "one hundred fifty trillion, four hundred twelve billion, three hundred eighty-seven million, two hundred seventy-six thousand, eight hundred".