10707978240 has 144 divisors (see below), whose sum is σ = 37112247900. Its totient is φ = 2855436288.

The previous prime is 10707978227. The next prime is 10707978251. The reversal of 10707978240 is 4287970701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9948865536 + 759112704 = 99744^2 + 27552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10707978240² (a number of 21 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 11 ways as a sum of consecutive naturals, for example, 34066 + ... + 150254.

Almost surely, 2^10707978240 is an apocalyptic number.

10707978240 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 10707978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556123950).

10707978240 is an abundant number, since it is smaller than the sum of its proper divisors (26404269660).

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

10707978240 is a wasteful number, since it uses less digits than its factorization.

10707978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116222 (or 116199 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10707978240 in words is "ten billion, seven hundred seven million, nine hundred seventy-eight thousand, two hundred forty".