10445760000 has 1000 divisors, whose sum is σ = 43310186304. Its totient is φ = 2488320000.

The previous prime is 10445759957. The next prime is 10445760001. The reversal of 10445760000 is 6754401.

10445760000 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 57 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×10445760000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10445760001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 336959985 + ... + 336960015.

Almost surely, 2^10445760000 is an apocalyptic number.

10445760000 is a gapful number since it is divisible by the number (10) 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 10445760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21655093152).

10445760000 is an abundant number, since it is smaller than the sum of its proper divisors (32864426304).

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

10445760000 is an frugal number, since it uses more digits than its factorization.

10445760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10445760000 in words is "ten billion, four hundred forty-five million, seven hundred sixty thousand".