385902600132000 has 1152 divisors, whose sum is σ = 1518720647528448. Its totient is φ = 85323748608000.

The previous prime is 385902600131947. The next prime is 385902600132001. The reversal of 385902600132000 is 231006209583.

It is a self number, because there is not a number n which added to its sum of digits gives 385902600132000.

It is not an unprimeable number, because it can be changed into a prime (385902600132001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78070521529 + ... + 78070526471.

It is an arithmetic number, because the mean of its divisors is an integer number (1318333895424).

Almost surely, 2^{385902600132000} is an apocalyptic number.

385902600132000 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 385902600132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759360323764224).

385902600132000 is an abundant number, since it is smaller than the sum of its proper divisors (1132818047396448).

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

385902600132000 is a wasteful number, since it uses less digits than its factorization.

385902600132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 385902600132000 in words is "three hundred eighty-five trillion, nine hundred two billion, six hundred million, one hundred thirty-two thousand".