10519493376 has 576 divisors, whose sum is σ = 36168007680. Its totient is φ = 2645360640.

The previous prime is 10519493357. The next prime is 10519493381. The reversal of 10519493376 is 67339491501.

It is a super-2 number, since 2×10519493376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133158105 + ... + 133158183.

It is an arithmetic number, because the mean of its divisors is an integer number (62791680).

Almost surely, 2^10519493376 is an apocalyptic number.

10519493376 is a gapful number since it is divisible by the number (16) 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 10519493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084003840).

10519493376 is an abundant number, since it is smaller than the sum of its proper divisors (25648514304).

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

10519493376 is a wasteful number, since it uses less digits than its factorization.

10519493376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 10519493376 in words is "ten billion, five hundred nineteen million, four hundred ninety-three thousand, three hundred seventy-six".