10970271923040 has 960 divisors, whose sum is σ = 43292672349696. Its totient is φ = 2601783410688.

The previous prime is 10970271922999. The next prime is 10970271923059. The reversal of 10970271923040 is 4032917207901.

10970271923040 is a `hidden beast` number, since 1 + 0 + 9 + 70 + 271 + 9 + 2 + 304 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 420577839 + ... + 420603921.

Almost surely, 2^{10970271923040} is an apocalyptic number.

10970271923040 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 10970271923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21646336174848).

10970271923040 is an abundant number, since it is smaller than the sum of its proper divisors (32322400426656).

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

10970271923040 is a wasteful number, since it uses less digits than its factorization.

10970271923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26233 (or 26216 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10970271923040 in words is "ten trillion, nine hundred seventy billion, two hundred seventy-one million, nine hundred twenty-three thousand, forty".