65861770010400 has 2304 divisors, whose sum is σ = 310686664780800. Its totient is φ = 13089226752000.

The previous prime is 65861770010363. The next prime is 65861770010447. The reversal of 65861770010400 is 401007716856.

65861770010400 is a `hidden beast` number, since 6 + 586 + 17 + 7 + 0 + 0 + 10 + 40 + 0 = 666.

It is a super-2 number, since 2×65861770010400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2337084310 + ... + 2337112490.

It is an arithmetic number, because the mean of its divisors is an integer number (134846642700).

Almost surely, 2^{65861770010400} is an apocalyptic number.

65861770010400 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 65861770010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155343332390400).

65861770010400 is an abundant number, since it is smaller than the sum of its proper divisors (244824894770400).

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

65861770010400 is a wasteful number, since it uses less digits than its factorization.

65861770010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28300 (or 28281 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 65861770010400 in words is "sixty-five trillion, eight hundred sixty-one billion, seven hundred seventy million, ten thousand, four hundred".