10119786587904 has 216 divisors, whose sum is σ = 31376100258048. Its totient is φ = 2887175854080.

The previous prime is 10119786587839. The next prime is 10119786587917. The reversal of 10119786587904 is 40978568791101.

It is a super-2 number, since 2×10119786587904² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25809129 + ... + 26198295.

Almost surely, 2^{10119786587904} is an apocalyptic number.

10119786587904 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 10119786587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688050129024).

10119786587904 is an abundant number, since it is smaller than the sum of its proper divisors (21256313670144).

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

10119786587904 is an equidigital number, since it uses as much as digits as its factorization.

10119786587904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389891 (or 389870 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 66.

The spelling of 10119786587904 in words is "ten trillion, one hundred nineteen billion, seven hundred eighty-six million, five hundred eighty-seven thousand, nine hundred four".