385760497824000 has 5184 divisors, whose sum is σ = 1652181699168000. Its totient is φ = 86082335539200.

The previous prime is 385760497823993. The next prime is 385760497824007. The reversal of 385760497824000 is 428794067583.

385760497824000 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 60 + 4 + 97 + 82 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385760497823993) and next prime (385760497824007).

It is a super-2 number, since 2×385760497824000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385760497824007) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3539087135946 + ... + 3539087136054.

It is an arithmetic number, because the mean of its divisors is an integer number (318707889500).

Almost surely, 2^{385760497824000} is an apocalyptic number.

385760497824000 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 385760497824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826090849584000).

385760497824000 is an abundant number, since it is smaller than the sum of its proper divisors (1266421201344000).

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

385760497824000 is a wasteful number, since it uses less digits than its factorization.

385760497824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 385760497824000 in words is "three hundred eighty-five trillion, seven hundred sixty billion, four hundred ninety-seven million, eight hundred twenty-four thousand".