10763312134050 has 768 divisors, whose sum is σ = 35308185845760. Its totient is φ = 2360177568000.

The previous prime is 10763312133949. The next prime is 10763312134103. The reversal of 10763312134050 is 5043121336701.

10763312134050 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 3 + 31 + 213 + 405 + 0 = 666.

10763312134050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10763312133996 and 10763312134014.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6023117257 + ... + 6023119043.

It is an arithmetic number, because the mean of its divisors is an integer number (45974200320).

Almost surely, 2^{10763312134050} is an apocalyptic number.

10763312134050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10763312134050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654092922880).

10763312134050 is an abundant number, since it is smaller than the sum of its proper divisors (24544873711710).

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

10763312134050 is a wasteful number, since it uses less digits than its factorization.

10763312134050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10763312134050 in words is "ten trillion, seven hundred sixty-three billion, three hundred twelve million, one hundred thirty-four thousand, fifty".