39989256106800 has 1440 divisors, whose sum is σ = 173342818492416. Its totient is φ = 7652316672000.

The previous prime is 39989256106769. The next prime is 39989256106831. The reversal of 39989256106800 is 860165298993.

It is an interprime number because it is at equal distance from previous prime (39989256106769) and next prime (39989256106831).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7230020035 + ... + 7230025565.

Almost surely, 2^{39989256106800} is an apocalyptic number.

39989256106800 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 39989256106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86671409246208).

39989256106800 is an abundant number, since it is smaller than the sum of its proper divisors (133353562385616).

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

39989256106800 is a wasteful number, since it uses less digits than its factorization.

39989256106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 66.

The spelling of 39989256106800 in words is "thirty-nine trillion, nine hundred eighty-nine billion, two hundred fifty-six million, one hundred six thousand, eight hundred".