10650273984 has 504 divisors, whose sum is σ = 38325600768. Its totient is φ = 2872143360.

The previous prime is 10650273979. The next prime is 10650274007. The reversal of 10650273984 is 48937205601.

10650273984 is a `hidden beast` number, since 106 + 502 + 7 + 39 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10650273984² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39299769 + ... + 39300039.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10650273984 = 21300547968, but 3⋅10650273984 = 31950821952 is not.

Almost surely, 2^10650273984 is an apocalyptic number.

10650273984 is a gapful number since it is divisible by the number (14) 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 10650273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162800384).

10650273984 is an abundant number, since it is smaller than the sum of its proper divisors (27675326784).

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

10650273984 is an equidigital number, since it uses as much as digits as its factorization.

10650273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10650273984 in words is "ten billion, six hundred fifty million, two hundred seventy-three thousand, nine hundred eighty-four".