10763474205120 has 672 divisors, whose sum is σ = 43065158472000. Its totient is φ = 2270952972288.

The previous prime is 10763474205097. The next prime is 10763474205131. The reversal of 10763474205120 is 2150247436701.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 103294806 + ... + 103398954.

It is an arithmetic number, because the mean of its divisors is an integer number (64085057250).

Almost surely, 2^{10763474205120} is an apocalyptic number.

10763474205120 is a gapful number since it is divisible by the number (10) 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 10763474205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21532579236000).

10763474205120 is an abundant number, since it is smaller than the sum of its proper divisors (32301684266880).

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

10763474205120 is a wasteful number, since it uses less digits than its factorization.

10763474205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104222 (or 104179 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 10763474205120 in words is "ten trillion, seven hundred sixty-three billion, four hundred seventy-four million, two hundred five thousand, one hundred twenty".