39960694309536 has 3840 divisors, whose sum is σ = 172613016576000. Its totient is φ = 8910474854400.

The previous prime is 39960694309447. The next prime is 39960694309567. The reversal of 39960694309536 is 63590349606993.

39960694309536 is a `hidden beast` number, since 3 + 9 + 9 + 606 + 9 + 4 + 3 + 0 + 9 + 5 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 171505125676 + ... + 171505125908.

It is an arithmetic number, because the mean of its divisors is an integer number (44951306400).

Almost surely, 2^{39960694309536} is an apocalyptic number.

39960694309536 is a gapful number since it is divisible by the number (36) 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 39960694309536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86306508288000).

39960694309536 is an abundant number, since it is smaller than the sum of its proper divisors (132652322266464).

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

39960694309536 is a wasteful number, since it uses less digits than its factorization.

39960694309536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 765275040, while the sum is 72.

The spelling of 39960694309536 in words is "thirty-nine trillion, nine hundred sixty billion, six hundred ninety-four million, three hundred nine thousand, five hundred thirty-six".