38085526080 has 784 divisors, whose sum is σ = 157831438464. Its totient is φ = 8569774080.

The previous prime is 38085526079. The next prime is 38085526103. The reversal of 38085526080 is 8062558083.

It is a happy number.

38085526080 is a `hidden beast` number, since 38 + 0 + 8 + 5 + 5 + 2 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 135535540 + ... + 135535820.

Almost surely, 2^38085526080 is an apocalyptic number.

38085526080 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 38085526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78915719232).

38085526080 is an abundant number, since it is smaller than the sum of its proper divisors (119745912384).

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

38085526080 is an equidigital number, since it uses as much as digits as its factorization.

38085526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 38085526080 in words is "thirty-eight billion, eighty-five million, five hundred twenty-six thousand, eighty".