10145124748080 has 480 divisors, whose sum is σ = 40391313790464. Its totient is φ = 2318241835008.

The previous prime is 10145124748039. The next prime is 10145124748091. The reversal of 10145124748080 is 8084742154101.

10145124748080 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 51 + 2 + 47 + 480 + 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 95 ways as a sum of consecutive naturals, for example, 631811412 + ... + 631827468.

Almost surely, 2^{10145124748080} is an apocalyptic number.

10145124748080 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 10145124748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195656895232).

10145124748080 is an abundant number, since it is smaller than the sum of its proper divisors (30246189042384).

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

10145124748080 is a wasteful number, since it uses less digits than its factorization.

10145124748080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20735 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 10145124748080 in words is "ten trillion, one hundred forty-five billion, one hundred twenty-four million, seven hundred forty-eight thousand, eighty".