10973400516 has 243 divisors, whose sum is σ = 32315929191. Its totient is φ = 3137591808.

The previous prime is 10973400511. The next prime is 10973400551. The reversal of 10973400516 is 61500437901.

The square root of 10973400516 is 104754.

It is a perfect power (a square), and thus also a powerful number.

10973400516 is a `hidden beast` number, since 10 + 97 + 3 + 40 + 0 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99082116 + 10874318400 = 9954^2 + 104280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10973400511) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 138903765 + ... + 138903843.

Almost surely, 2^10973400516 is an apocalyptic number.

10973400516 is the 104754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10973400516

10973400516 is an abundant number, since it is smaller than the sum of its proper divisors (21342528675).

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

10973400516 is a wasteful number, since it uses less digits than its factorization.

10973400516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 10973400516 by its sum of digits (36), we get a square (395042418576 = 628524²).

10973400516 divided by its sum of digits (36) gives a square (304816681 = 17459²).

The spelling of 10973400516 in words is "ten billion, nine hundred seventy-three million, four hundred thousand, five hundred sixteen".