10124395037352 has 128 divisors (see below), whose sum is σ = 29816162985600. Its totient is φ = 3172170875904.

The previous prime is 10124395037299. The next prime is 10124395037423. The reversal of 10124395037352 is 25373059342101.

10124395037352 is a `hidden beast` number, since 1 + 0 + 1 + 24 + 3 + 9 + 503 + 73 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10124395037298 and 10124395037307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055023 + ... + 4621889.

It is an arithmetic number, because the mean of its divisors is an integer number (232938773325).

Almost surely, 2^{10124395037352} is an apocalyptic number.

10124395037352 is a gapful number since it is divisible by the number (12) 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 10124395037352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908081492800).

10124395037352 is an abundant number, since it is smaller than the sum of its proper divisors (19691767948248).

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

10124395037352 is a wasteful number, since it uses less digits than its factorization.

10124395037352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567672 (or 3567662 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 10124395037352 in words is "ten trillion, one hundred twenty-four billion, three hundred ninety-five million, thirty-seven thousand, three hundred fifty-two".