10670121984 has 176 divisors, whose sum is σ = 29505097728. Its totient is φ = 3425968128.

The previous prime is 10670121977. The next prime is 10670121991. The reversal of 10670121984 is 48912107601.

It is an interprime number because it is at equal distance from previous prime (10670121977) and next prime (10670121991).

It is a super-2 number, since 2×10670121984² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9673177 + ... + 9674279.

Almost surely, 2^10670121984 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 10670121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752548864).

10670121984 is an abundant number, since it is smaller than the sum of its proper divisors (18834975744).

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

10670121984 is a wasteful number, since it uses less digits than its factorization.

10670121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10670121984 in words is "ten billion, six hundred seventy million, one hundred twenty-one thousand, nine hundred eighty-four".