38890615680000 has 1980 divisors, whose sum is σ = 163496541896688. Its totient is φ = 8719073280000.

The previous prime is 38890615679939. The next prime is 38890615680011. The reversal of 38890615680000 is 8651609883.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 214865279910 + ... + 214865280090.

Almost surely, 2^{38890615680000} is an apocalyptic number.

38890615680000 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 38890615680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81748270948344).

38890615680000 is an abundant number, since it is smaller than the sum of its proper divisors (124605926216688).

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

38890615680000 is an equidigital number, since it uses as much as digits as its factorization.

38890615680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 38890615680000 in words is "thirty-eight trillion, eight hundred ninety billion, six hundred fifteen million, six hundred eighty thousand".