1010648038500 has 144 divisors (see below), whose sum is σ = 3195364863600. Its totient is φ = 268905369600.

The previous prime is 1010648038457. The next prime is 1010648038501. The reversal of 1010648038500 is 58308460101.

1010648038500 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 648 + 0 + 3 + 8 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 395781908544 + 614866129956 = 629112^2 + 784134^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1010648038501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770402 + ... + 2270598.

It is an arithmetic number, because the mean of its divisors is an integer number (22190033775).

Almost surely, 2^{1010648038500} is an apocalyptic number.

1010648038500 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 1010648038500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597682431800).

1010648038500 is an abundant number, since it is smaller than the sum of its proper divisors (2184716825100).

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

1010648038500 is a wasteful number, since it uses less digits than its factorization.

1010648038500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500671 (or 500656 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1010648038500 in words is "one trillion, ten billion, six hundred forty-eight million, thirty-eight thousand, five hundred".