10058562783360 has 768 divisors, whose sum is σ = 42854325696000. Its totient is φ = 2117012226048.

The previous prime is 10058562783331. The next prime is 10058562783383. The reversal of 10058562783360 is 6338726585001.

10058562783360 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 8 + 5 + 6 + 278 + 3 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10058562783297 and 10058562783306.

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, 214357981 + ... + 214404899.

It is an arithmetic number, because the mean of its divisors is an integer number (55799903250).

Almost surely, 2^{10058562783360} is an apocalyptic number.

10058562783360 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 10058562783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427162848000).

10058562783360 is an abundant number, since it is smaller than the sum of its proper divisors (32795762912640).

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

10058562783360 is a wasteful number, since it uses less digits than its factorization.

10058562783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47373 (or 47358 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 10058562783360 in words is "ten trillion, fifty-eight billion, five hundred sixty-two million, seven hundred eighty-three thousand, three hundred sixty".