10516431744 has 768 divisors, whose sum is σ = 41316609600. Its totient is φ = 2601123840.

The previous prime is 10516431721. The next prime is 10516431797. The reversal of 10516431744 is 44713461501.

10516431744 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 643 + 1 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×10516431744² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10516431699 and 10516431708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37424884 + ... + 37425164.

Almost surely, 2^10516431744 is an apocalyptic number.

10516431744 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 10516431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658304800).

10516431744 is an abundant number, since it is smaller than the sum of its proper divisors (30800177856).

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

10516431744 is a wasteful number, since it uses less digits than its factorization.

10516431744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10516431744 in words is "ten billion, five hundred sixteen million, four hundred thirty-one thousand, seven hundred forty-four".