65967887904000 has 1152 divisors, whose sum is σ = 232726762684416. Its totient is φ = 16535715840000.

The previous prime is 65967887903993. The next prime is 65967887904041. The reversal of 65967887904000 is 40978876956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24697822665 + ... + 24697825335.

Almost surely, 2^{65967887904000} is an apocalyptic number.

65967887904000 is a gapful number since it is divisible by the number (60) 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 65967887904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363381342208).

65967887904000 is an abundant number, since it is smaller than the sum of its proper divisors (166758874780416).

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

65967887904000 is a wasteful number, since it uses less digits than its factorization.

65967887904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 65967887904000 in words is "sixty-five trillion, nine hundred sixty-seven billion, eight hundred eighty-seven million, nine hundred four thousand".