10972214858304 has 336 divisors, whose sum is σ = 38007102422016. Its totient is φ = 2959795814400.

The previous prime is 10972214858303. The next prime is 10972214858309. The reversal of 10972214858304 is 40385841227901.

10972214858304 is a `hidden beast` number, since 1 + 0 + 9 + 72 + 214 + 8 + 58 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10972214858303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4054144 + ... + 6195200.

It is an arithmetic number, because the mean of its divisors is an integer number (113116376256).

Almost surely, 2^{10972214858304} is an apocalyptic number.

10972214858304 is a gapful number since it is divisible by the number (14) 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 10972214858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003551211008).

10972214858304 is an abundant number, since it is smaller than the sum of its proper divisors (27034887563712).

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

10972214858304 is a wasteful number, since it uses less digits than its factorization.

10972214858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141154 (or 2141141 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10972214858304 in words is "ten trillion, nine hundred seventy-two billion, two hundred fourteen million, eight hundred fifty-eight thousand, three hundred four".