65861770091040 has 1728 divisors, whose sum is σ = 300516023808000. Its totient is φ = 12952795484160.

The previous prime is 65861770091017. The next prime is 65861770091053. The reversal of 65861770091040 is 4019007716856.

65861770091040 is a `hidden beast` number, since 6 + 5 + 8 + 617 + 7 + 0 + 0 + 9 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×65861770091040² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25940042091 + ... + 25940044629.

It is an arithmetic number, because the mean of its divisors is an integer number (173909736000).

Almost surely, 2^{65861770091040} is an apocalyptic number.

65861770091040 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 65861770091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258011904000).

65861770091040 is an abundant number, since it is smaller than the sum of its proper divisors (234654253716960).

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

65861770091040 is a wasteful number, since it uses less digits than its factorization.

65861770091040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 65861770091040 in words is "sixty-five trillion, eight hundred sixty-one billion, seven hundred seventy million, ninety-one thousand, forty".