385152122880 has 816 divisors, whose sum is σ = 1584730178304. Its totient is φ = 87907368960.

The previous prime is 385152122819. The next prime is 385152122881. The reversal of 385152122880 is 88221251583.

385152122880 is a `hidden beast` number, since 3 + 8 + 515 + 2 + 122 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (385152122881) 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, 557383335 + ... + 557384025.

Almost surely, 2^385152122880 is an apocalyptic number.

385152122880 is a gapful number since it is divisible by the number (30) 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 385152122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792365089152).

385152122880 is an abundant number, since it is smaller than the sum of its proper divisors (1199578055424).

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

385152122880 is an frugal number, since it uses more digits than its factorization.

385152122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 385152122880 in words is "three hundred eighty-five billion, one hundred fifty-two million, one hundred twenty-two thousand, eight hundred eighty".