10169961984 has 480 divisors, whose sum is σ = 36700984320. Its totient is φ = 2639609856.

The previous prime is 10169961953. The next prime is 10169962001. The reversal of 10169961984 is 48916996101.

10169961984 is a `hidden beast` number, since 1 + 0 + 16 + 9 + 9 + 619 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10169961984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33126759 + ... + 33127065.

It is an arithmetic number, because the mean of its divisors is an integer number (76460384).

Almost surely, 2^10169961984 is an apocalyptic number.

10169961984 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 10169961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350492160).

10169961984 is an abundant number, since it is smaller than the sum of its proper divisors (26531022336).

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

10169961984 is a wasteful number, since it uses less digits than its factorization.

10169961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 10169961984 in words is "ten billion, one hundred sixty-nine million, nine hundred sixty-one thousand, nine hundred eighty-four".