10972354357248 has 384 divisors, whose sum is σ = 31493157696000. Its totient is φ = 3386866728960.

The previous prime is 10972354357207. The next prime is 10972354357271. The reversal of 10972354357248 is 84275345327901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 10972354357191 and 10972354357200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024586518 + ... + 1024597226.

It is an arithmetic number, because the mean of its divisors is an integer number (82013431500).

Almost surely, 2^{10972354357248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10972354357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746578848000).

10972354357248 is an abundant number, since it is smaller than the sum of its proper divisors (20520803338752).

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

10972354357248 is a wasteful number, since it uses less digits than its factorization.

10972354357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10951 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 10972354357248 in words is "ten trillion, nine hundred seventy-two billion, three hundred fifty-four million, three hundred fifty-seven thousand, two hundred forty-eight".