10242648010500 has 192 divisors, whose sum is σ = 31730786470656. Its totient is φ = 2558519040000.

The previous prime is 10242648010493. The next prime is 10242648010579. The reversal of 10242648010500 is 501084624201.

It is a happy number.

It is a super-2 number, since 2×10242648010500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4428670 + ... + 6332330.

It is an arithmetic number, because the mean of its divisors is an integer number (165264512868).

Almost surely, 2^{10242648010500} is an apocalyptic number.

10242648010500 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 10242648010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865393235328).

10242648010500 is an abundant number, since it is smaller than the sum of its proper divisors (21488138460156).

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

10242648010500 is a wasteful number, since it uses less digits than its factorization.

10242648010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903911 (or 1903899 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 10242648010500 in words is "ten trillion, two hundred forty-two billion, six hundred forty-eight million, ten thousand, five hundred".