150778766880 has 1152 divisors, whose sum is σ = 636741181440. Its totient is φ = 31750963200.

The previous prime is 150778766861. The next prime is 150778766891. The reversal of 150778766880 is 88667877051.

150778766880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 998534805 + ... + 998534955.

It is an arithmetic number, because the mean of its divisors is an integer number (552726720).

Almost surely, 2^150778766880 is an apocalyptic number.

150778766880 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 150778766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318370590720).

150778766880 is an abundant number, since it is smaller than the sum of its proper divisors (485962414560).

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

150778766880 is a wasteful number, since it uses less digits than its factorization.

150778766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 150778766880 in words is "one hundred fifty billion, seven hundred seventy-eight million, seven hundred sixty-six thousand, eight hundred eighty".