10972938240 has 720 divisors, whose sum is σ = 43928750880. Its totient is φ = 2595225600.

The previous prime is 10972938181. The next prime is 10972938241. The reversal of 10972938240 is 4283927901.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972938241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267632620 + ... + 267632660.

It is an arithmetic number, because the mean of its divisors is an integer number (61012154).

Almost surely, 2^10972938240 is an apocalyptic number.

10972938240 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 10972938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21964375440).

10972938240 is an abundant number, since it is smaller than the sum of its proper divisors (32955812640).

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

10972938240 is an equidigital number, since it uses as much as digits as its factorization.

10972938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10972938240 in words is "ten billion, nine hundred seventy-two million, nine hundred thirty-eight thousand, two hundred forty".