39960255396576 has 96 divisors (see below), whose sum is σ = 105829862584320. Its totient is φ = 13201672329216.

The previous prime is 39960255396497. The next prime is 39960255396599. The reversal of 39960255396576 is 67569355206993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×39960255396576² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39960255396498 and 39960255396507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10234215 + ... + 13588953.

It is an arithmetic number, because the mean of its divisors is an integer number (1102394401920).

Almost surely, 2^{39960255396576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39960255396576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52914931292160).

39960255396576 is an abundant number, since it is smaller than the sum of its proper divisors (65869607187744).

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

39960255396576 is a wasteful number, since it uses less digits than its factorization.

39960255396576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355856 (or 3355848 counting only the distinct ones).

The product of its (nonzero) digits is 2480058000, while the sum is 75.

The spelling of 39960255396576 in words is "thirty-nine trillion, nine hundred sixty billion, two hundred fifty-five million, three hundred ninety-six thousand, five hundred seventy-six".