150561868800 has 396 divisors, whose sum is σ = 578872521960. Its totient is φ = 34413281280.

The previous prime is 150561868759. The next prime is 150561868801. The reversal of 150561868800 is 8868165051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150561868800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150561868801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3743196 + ... + 3783204.

Almost surely, 2^150561868800 is an apocalyptic number.

150561868800 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 150561868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289436260980).

150561868800 is an abundant number, since it is smaller than the sum of its proper divisors (428310653160).

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

150561868800 is a wasteful number, since it uses less digits than its factorization.

150561868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40056 (or 40026 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 150561868800 in words is "one hundred fifty billion, five hundred sixty-one million, eight hundred sixty-eight thousand, eight hundred".