10974822408000 has 3584 divisors, whose sum is σ = 48887774208000. Its totient is φ = 2380492800000.

The previous prime is 10974822407963. The next prime is 10974822408037. The reversal of 10974822408000 is 80422847901.

10974822408000 is a `hidden beast` number, since 1 + 0 + 97 + 482 + 2 + 4 + 0 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10974822407963) and next prime (10974822408037).

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 108661607950 + ... + 108661608050.

It is an arithmetic number, because the mean of its divisors is an integer number (13640562000).

Almost surely, 2^{10974822408000} is an apocalyptic number.

10974822408000 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 10974822408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24443887104000).

10974822408000 is an abundant number, since it is smaller than the sum of its proper divisors (37912951800000).

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

10974822408000 is a wasteful number, since it uses less digits than its factorization.

10974822408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10974822408000 in words is "ten trillion, nine hundred seventy-four billion, eight hundred twenty-two million, four hundred eight thousand".