150051721881600 has 4320 divisors, whose sum is σ = 742597722266400. Its totient is φ = 29530187366400.

The previous prime is 150051721881527. The next prime is 150051721881623. The reversal of 150051721881600 is 6188127150051.

150051721881600 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 5 + 17 + 21 + 8 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 42471473434 + ... + 42471476966.

It is an arithmetic number, because the mean of its divisors is an integer number (171897620895).

Almost surely, 2^{150051721881600} is an apocalyptic number.

150051721881600 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 150051721881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371298861133200).

150051721881600 is an abundant number, since it is smaller than the sum of its proper divisors (592546000384800).

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

150051721881600 is a wasteful number, since it uses less digits than its factorization.

150051721881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 150051721881600 in words is "one hundred fifty trillion, fifty-one billion, seven hundred twenty-one million, eight hundred eighty-one thousand, six hundred".