10038885096240 has 4800 divisors, whose sum is σ = 51241948876800. Its totient is φ = 1761810186240.

The previous prime is 10038885096089. The next prime is 10038885096259. The reversal of 10038885096240 is 4269058883001.

10038885096240 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 8 + 8 + 5 + 0 + 9 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 67375067686 + ... + 67375067834.

It is an arithmetic number, because the mean of its divisors is an integer number (10675406016).

Almost surely, 2^{10038885096240} is an apocalyptic number.

10038885096240 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 10038885096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620974438400).

10038885096240 is an abundant number, since it is smaller than the sum of its proper divisors (41203063780560).

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

10038885096240 is a wasteful number, since it uses less digits than its factorization.

10038885096240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10038885096240 in words is "ten trillion, thirty-eight billion, eight hundred eighty-five million, ninety-six thousand, two hundred forty".