150989978880 has 1152 divisors, whose sum is σ = 613820067840. Its totient is φ = 34876293120.

The previous prime is 150989978879. The next prime is 150989978897. The reversal of 150989978880 is 88879989051.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 150989978799 and 150989978808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 515324014 + ... + 515324306.

It is an arithmetic number, because the mean of its divisors is an integer number (532829920).

Almost surely, 2^150989978880 is an apocalyptic number.

150989978880 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 150989978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306910033920).

150989978880 is an abundant number, since it is smaller than the sum of its proper divisors (462830088960).

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

150989978880 is a wasteful number, since it uses less digits than its factorization.

150989978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 72.

The spelling of 150989978880 in words is "one hundred fifty billion, nine hundred eighty-nine million, nine hundred seventy-eight thousand, eight hundred eighty".