10973653040 has 80 divisors (see below), whose sum is σ = 29182513152. Its totient is φ = 3759305472.

The previous prime is 10973653037. The next prime is 10973653057. The reversal of 10973653040 is 4035637901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10973653040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10973652985 and 10973653003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735737 + ... + 750503.

Almost surely, 2^10973653040 is an apocalyptic number.

10973653040 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 10973653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591256576).

10973653040 is an abundant number, since it is smaller than the sum of its proper divisors (18208860112).

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

10973653040 is a wasteful number, since it uses less digits than its factorization.

10973653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114 (or 16108 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 10973653040 in words is "ten billion, nine hundred seventy-three million, six hundred fifty-three thousand, forty".