10005750516465 has 48 divisors (see below), whose sum is σ = 19915752242880. Its totient is φ = 4595942816640.

The previous prime is 10005750516409. The next prime is 10005750516499. The reversal of 10005750516465 is 56461505750001.

It is a happy number.

10005750516465 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 75 + 0 + 516 + 4 + 65 = 666.

It is not a de Polignac number, because 10005750516465 - 2⁶ = 10005750516401 is a prime.

It is a super-2 number, since 2×10005750516465² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10005750516465.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531928422 + ... + 531947231.

It is an arithmetic number, because the mean of its divisors is an integer number (414911505060).

Almost surely, 2^{10005750516465} is an apocalyptic number.

10005750516465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005750516465 is a deficient number, since it is larger than the sum of its proper divisors (9910001726415).

10005750516465 is a wasteful number, since it uses less digits than its factorization.

10005750516465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063875694 (or 1063875691 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 10005750516465 in words is "ten trillion, five billion, seven hundred fifty million, five hundred sixteen thousand, four hundred sixty-five".