39548867985990 has 256 divisors, whose sum is σ = 115468956794880. Its totient is φ = 9552821616000.

The previous prime is 39548867985973. The next prime is 39548867986003. The reversal of 39548867985990 is 9958976884593.

39548867985990 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 8 + 8 + 6 + 7 + 9 + 8 + 599 + 0 = 666.

It is a super-2 number, since 2×39548867985990² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 39548867985990.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2666627875 + ... + 2666642705.

It is an arithmetic number, because the mean of its divisors is an integer number (451050612480).

Almost surely, 2^{39548867985990} is an apocalyptic number.

39548867985990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39548867985990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57734478397440).

39548867985990 is an abundant number, since it is smaller than the sum of its proper divisors (75920088808890).

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

39548867985990 is a wasteful number, since it uses less digits than its factorization.

39548867985990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18056 (or 18050 counting only the distinct ones).

The product of its (nonzero) digits is 42326323200, while the sum is 90.

The spelling of 39548867985990 in words is "thirty-nine trillion, five hundred forty-eight billion, eight hundred sixty-seven million, nine hundred eighty-five thousand, nine hundred ninety".