150066565660800 has 3072 divisors, whose sum is σ = 606365761536000. Its totient is φ = 36130406400000.

The previous prime is 150066565660783. The next prime is 150066565660859. The reversal of 150066565660800 is 8066565660051.

It is a happy number.

150066565660800 is a `hidden beast` number, since 1 + 500 + 6 + 6 + 5 + 6 + 56 + 6 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 553751164665 + ... + 553751164935.

It is an arithmetic number, because the mean of its divisors is an integer number (197384688000).

Almost surely, 2^{150066565660800} is an apocalyptic number.

150066565660800 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 150066565660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303182880768000).

150066565660800 is an abundant number, since it is smaller than the sum of its proper divisors (456299195875200).

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

150066565660800 is a wasteful number, since it uses less digits than its factorization.

150066565660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 150066565660800 in words is "one hundred fifty trillion, sixty-six billion, five hundred sixty-five million, six hundred sixty thousand, eight hundred".