10022961129984 has 1200 divisors, whose sum is σ = 33727045080960. Its totient is φ = 2960503603200.

The previous prime is 10022961129977. The next prime is 10022961129997. The reversal of 10022961129984 is 48992116922001.

10022961129984 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 9 + 611 + 2 + 9 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10022961129984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51932440992 + ... + 51932441184.

Almost surely, 2^{10022961129984} 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 10022961129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863522540480).

10022961129984 is an abundant number, since it is smaller than the sum of its proper divisors (23704083950976).

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

10022961129984 is a wasteful number, since it uses less digits than its factorization.

10022961129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 10022961129984 in words is "ten trillion, twenty-two billion, nine hundred sixty-one million, one hundred twenty-nine thousand, nine hundred eighty-four".