10519047193088 has 360 divisors, whose sum is σ = 25007022915732. Its totient is φ = 4407459840000.

The previous prime is 10519047193087. The next prime is 10519047193111. The reversal of 10519047193088 is 88039174091501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3490440265984 + 7028606927104 = 1868272^2 + 2651152^2 .

It is a super-2 number, since 2×10519047193088² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (10519047193087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26232037688 + ... + 26232038088.

Almost surely, 2^{10519047193088} 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 10519047193088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503511457866).

10519047193088 is an abundant number, since it is smaller than the sum of its proper divisors (14487975722644).

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

10519047193088 is an frugal number, since it uses more digits than its factorization.

10519047193088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 10519047193088 in words is "ten trillion, five hundred nineteen billion, forty-seven million, one hundred ninety-three thousand, eighty-eight".