10253999431584 has 288 divisors, whose sum is σ = 32619342712320. Its totient is φ = 3039924658176.

The previous prime is 10253999431573. The next prime is 10253999431591. The reversal of 10253999431584 is 48513499935201.

10253999431584 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 9 + 9 + 9 + 43 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 5904957 + ... + 7441539.

It is an arithmetic number, because the mean of its divisors is an integer number (113261606640).

Almost surely, 2^{10253999431584} 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 10253999431584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309671356160).

10253999431584 is an abundant number, since it is smaller than the sum of its proper divisors (22365343280736).

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

10253999431584 is a wasteful number, since it uses less digits than its factorization.

10253999431584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536692 (or 1536681 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 10253999431584 in words is "ten trillion, two hundred fifty-three billion, nine hundred ninety-nine million, four hundred thirty-one thousand, five hundred eighty-four".