10002057984 has 144 divisors (see below), whose sum is σ = 31318086240. Its totient is φ = 3137863680.

The previous prime is 10002057983. The next prime is 10002058133. The reversal of 10002057984 is 48975020001.

10002057984 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 0 + 579 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10002057983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74944 + ... + 160064.

It is an arithmetic number, because the mean of its divisors is an integer number (217486710).

Almost surely, 2^10002057984 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 10002057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659043120).

10002057984 is an abundant number, since it is smaller than the sum of its proper divisors (21316028256).

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

10002057984 is an equidigital number, since it uses as much as digits as its factorization.

10002057984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85163 (or 85143 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 10002057984 its reverse (48975020001), we get a palindrome (58977077985).

The spelling of 10002057984 in words is "ten billion, two million, fifty-seven thousand, nine hundred eighty-four".