10970222400 has 504 divisors, whose sum is σ = 42329962584. Its totient is φ = 2683699200.

The previous prime is 10970222381. The next prime is 10970222411. The reversal of 10970222400 is 422207901.

It can be written as a sum of positive squares in 12 ways, for example, as 1197713664 + 9772508736 = 34608^2 + 98856^2 .

It is a congruent number.

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, 10036254 + ... + 10037346.

It is an arithmetic number, because the mean of its divisors is an integer number (83988021).

Almost surely, 2^10970222400 is an apocalyptic number.

10970222400 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 10970222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21164981292).

10970222400 is an abundant number, since it is smaller than the sum of its proper divisors (31359740184).

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

10970222400 is a wasteful number, since it uses less digits than its factorization.

10970222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10970222400 in words is "ten billion, nine hundred seventy million, two hundred twenty-two thousand, four hundred".