385158758400 has 1800 divisors, whose sum is σ = 1651897188480. Its totient is φ = 87907368960.

The previous prime is 385158758389. The next prime is 385158758407. The reversal of 385158758400 is 4857851583.

385158758400 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 58 + 7 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (385158758407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8194867177 + ... + 8194867223.

Almost surely, 2^385158758400 is an apocalyptic number.

385158758400 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 385158758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825948594240).

385158758400 is an abundant number, since it is smaller than the sum of its proper divisors (1266738430080).

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

385158758400 is a wasteful number, since it uses less digits than its factorization.

385158758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

It can be divided in two parts, 38515 and 8758400, that added together give a triangular number (8796915 = T₄₁₉₄).

The spelling of 385158758400 in words is "three hundred eighty-five billion, one hundred fifty-eight million, seven hundred fifty-eight thousand, four hundred".