39948600556800 has 864 divisors, whose sum is σ = 158558261621760. Its totient is φ = 9783477043200.

The previous prime is 39948600556789. The next prime is 39948600556847. The reversal of 39948600556800 is 865500684993.

39948600556800 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 8 + 60 + 0 + 5 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×39948600556800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442495665 + ... + 442585935.

Almost surely, 2^{39948600556800} is an apocalyptic number.

39948600556800 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 39948600556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279130810880).

39948600556800 is an abundant number, since it is smaller than the sum of its proper divisors (118609661064960).

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

39948600556800 is a wasteful number, since it uses less digits than its factorization.

39948600556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90516 (or 90491 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 39948600556800 in words is "thirty-nine trillion, nine hundred forty-eight billion, six hundred million, five hundred fifty-six thousand, eight hundred".