10970012066400 has 576 divisors, whose sum is σ = 40102811380800. Its totient is φ = 2893884456960.

The previous prime is 10970012066353. The next prime is 10970012066401. The reversal of 10970012066400 is 466021007901.

10970012066400 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 0 + 0 + 1 + 2 + 0 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10970012066401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1359521566 + ... + 1359529634.

It is an arithmetic number, because the mean of its divisors is an integer number (69622936425).

Almost surely, 2^{10970012066400} is an apocalyptic number.

10970012066400 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 10970012066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051405690400).

10970012066400 is an abundant number, since it is smaller than the sum of its proper divisors (29132799314400).

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

10970012066400 is a wasteful number, since it uses less digits than its factorization.

10970012066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10970012066400 in words is "ten trillion, nine hundred seventy billion, twelve million, sixty-six thousand, four hundred".