39979875045600 has 576 divisors, whose sum is σ = 165626849203200. Its totient is φ = 9117425940480.

The previous prime is 39979875045533. The next prime is 39979875045601. The reversal of 39979875045600 is 654057897993.

39979875045600 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 9 + 8 + 7 + 5 + 0 + 4 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39979875045601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66075642 + ... + 66677958.

It is an arithmetic number, because the mean of its divisors is an integer number (287546613200).

Almost surely, 2^{39979875045600} is an apocalyptic number.

39979875045600 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 39979875045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82813424601600).

39979875045600 is an abundant number, since it is smaller than the sum of its proper divisors (125646974157600).

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

39979875045600 is a wasteful number, since it uses less digits than its factorization.

39979875045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602792 (or 602773 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 39979875045600 in words is "thirty-nine trillion, nine hundred seventy-nine billion, eight hundred seventy-five million, forty-five thousand, six hundred".