90068013000 has 192 divisors, whose sum is σ = 347920110720. Its totient is φ = 20586960000.

The previous prime is 90068012999. The next prime is 90068013019. The reversal of 90068013000 is 31086009.

It is a super-2 number, since 2×90068013000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651826 + ... + 777825.

It is an arithmetic number, because the mean of its divisors is an integer number (1812083910).

Almost surely, 2^90068013000 is an apocalyptic number.

90068013000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90068013000 is an abundant number, since it is smaller than the sum of its proper divisors (257852097720).

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

90068013000 is a wasteful number, since it uses less digits than its factorization.

90068013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429685 (or 1429668 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 90068013000 its reverse (31086009), we get a palindrome (90099099009).

The spelling of 90068013000 in words is "ninety billion, sixty-eight million, thirteen thousand".