10058415252480 has 2112 divisors, whose sum is σ = 44829798354432. Its totient is φ = 2109776855040.

The previous prime is 10058415252469. The next prime is 10058415252499. The reversal of 10058415252480 is 8425251485001.

10058415252480 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 8 + 41 + 5 + 2 + 524 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6070255812 + ... + 6070257468.

Almost surely, 2^{10058415252480} is an apocalyptic number.

10058415252480 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 10058415252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22414899177216).

10058415252480 is an abundant number, since it is smaller than the sum of its proper divisors (34771383101952).

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

10058415252480 is a wasteful number, since it uses less digits than its factorization.

10058415252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 10058415252480 in words is "ten trillion, fifty-eight billion, four hundred fifteen million, two hundred fifty-two thousand, four hundred eighty".