9038859949980 has 480 divisors, whose sum is σ = 33345621872640. Its totient is φ = 2006572538880.

The previous prime is 9038859949963. The next prime is 9038859949997. The reversal of 9038859949980 is 899499588309.

9038859949980 is a `hidden beast` number, since 9 + 0 + 38 + 8 + 5 + 99 + 499 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9038859949963) and next prime (9038859949997).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 9038859949980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103638031 + ... + 103725209.

It is an arithmetic number, because the mean of its divisors is an integer number (69470045568).

Almost surely, 2^{9038859949980} is an apocalyptic number.

9038859949980 is a gapful number since it is divisible by the number (90) 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 9038859949980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672810936320).

9038859949980 is an abundant number, since it is smaller than the sum of its proper divisors (24306761922660).

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

9038859949980 is a wasteful number, since it uses less digits than its factorization.

9038859949980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87471 (or 87460 counting only the distinct ones).

The product of its (nonzero) digits is 1813985280, while the sum is 81.

The spelling of 9038859949980 in words is "nine trillion, thirty-eight billion, eight hundred fifty-nine million, nine hundred forty-nine thousand, nine hundred eighty".