10065377260800 has 324 divisors, whose sum is σ = 37318815817920. Its totient is φ = 2684100188160.

The previous prime is 10065377260793. The next prime is 10065377260853. The reversal of 10065377260800 is 806277356001.

10065377260800 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 37 + 7 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×10065377260800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1680840 + ... + 4791239.

Almost surely, 2^{10065377260800} is an apocalyptic number.

10065377260800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10065377260800 is an abundant number, since it is smaller than the sum of its proper divisors (27253438557120).

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

10065377260800 is an frugal number, since it uses more digits than its factorization.

10065377260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472120 (or 6472089 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10065377260800 in words is "ten trillion, sixty-five billion, three hundred seventy-seven million, two hundred sixty thousand, eight hundred".