39161026920960 has 2400 divisors, whose sum is σ = 173811010526208. Its totient is φ = 8373389230080.

The previous prime is 39161026920959. The next prime is 39161026920971. The reversal of 39161026920960 is 6902962016193.

39161026920960 is a `hidden beast` number, since 391 + 6 + 102 + 6 + 92 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 39161026920897 and 39161026920906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32991597487 + ... + 32991598673.

Almost surely, 2^{39161026920960} is an apocalyptic number.

39161026920960 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 39161026920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86905505263104).

39161026920960 is an abundant number, since it is smaller than the sum of its proper divisors (134649983605248).

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

39161026920960 is a wasteful number, since it uses less digits than its factorization.

39161026920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 39161026920960 in words is "thirty-nine trillion, one hundred sixty-one billion, twenty-six million, nine hundred twenty thousand, nine hundred sixty".