10970640979200 has 3888 divisors, whose sum is σ = 51520284990720. Its totient is φ = 2174539530240.

The previous prime is 10970640979187. The next prime is 10970640979201. The reversal of 10970640979200 is 297904607901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10970640979201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 97085318344 + ... + 97085318456.

Almost surely, 2^{10970640979200} is an apocalyptic number.

10970640979200 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 10970640979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25760142495360).

10970640979200 is an abundant number, since it is smaller than the sum of its proper divisors (40549644011520).

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

10970640979200 is a wasteful number, since it uses less digits than its factorization.

10970640979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 10970640979200 in words is "ten trillion, nine hundred seventy billion, six hundred forty million, nine hundred seventy-nine thousand, two hundred".