10574001984 has 224 divisors, whose sum is σ = 34525403136. Its totient is φ = 2781296640.

The previous prime is 10574001973. The next prime is 10574002003. The reversal of 10574001984 is 48910047501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10574001984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10255549 + ... + 10256579.

It is an arithmetic number, because the mean of its divisors is an integer number (154131264).

Almost surely, 2^10574001984 is an apocalyptic number.

10574001984 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 10574001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262701568).

10574001984 is an abundant number, since it is smaller than the sum of its proper divisors (23951401152).

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

10574001984 is a wasteful number, since it uses less digits than its factorization.

10574001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10574001984 in words is "ten billion, five hundred seventy-four million, one thousand, nine hundred eighty-four".