970540212096 has 288 divisors, whose sum is σ = 3498713454600. Its totient is φ = 255966455808.

The previous prime is 970540212071. The next prime is 970540212113. The reversal of 970540212096 is 690212045079.

970540212096 is a `hidden beast` number, since 9 + 7 + 0 + 540 + 2 + 12 + 0 + 96 = 666.

970540212096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72535 + ... + 1395113.

Almost surely, 2^970540212096 is an apocalyptic number.

970540212096 is a gapful number since it is divisible by the number (96) 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 970540212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749356727300).

970540212096 is an abundant number, since it is smaller than the sum of its proper divisors (2528173242504).

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

970540212096 is a wasteful number, since it uses less digits than its factorization.

970540212096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322626 (or 1322604 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 970540212096 in words is "nine hundred seventy billion, five hundred forty million, two hundred twelve thousand, ninety-six".