150710021203968 has 576 divisors, whose sum is σ = 457984878624000. Its totient is φ = 49506245148672.

The previous prime is 150710021203939. The next prime is 150710021203969. The reversal of 150710021203968 is 869302120017051.

150710021203968 is a `hidden beast` number, since 1 + 507 + 10 + 0 + 2 + 120 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (150710021203969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22370491096 + ... + 22370497832.

It is an arithmetic number, because the mean of its divisors is an integer number (795112636500).

Almost surely, 2^{150710021203968} is an apocalyptic number.

150710021203968 is a gapful number since it is divisible by the number (18) 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 150710021203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228992439312000).

150710021203968 is an abundant number, since it is smaller than the sum of its proper divisors (307274857420032).

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

150710021203968 is an frugal number, since it uses more digits than its factorization.

150710021203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7422 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 150710021203968 in words is "one hundred fifty trillion, seven hundred ten billion, twenty-one million, two hundred three thousand, nine hundred sixty-eight".