1005917230500 has 384 divisors, whose sum is σ = 3650882027520. Its totient is φ = 209548684800.

The previous prime is 1005917230499. The next prime is 1005917230517. The reversal of 1005917230500 is 50327195001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10736859 + ... + 10830141.

It is an arithmetic number, because the mean of its divisors is an integer number (9507505280).

Almost surely, 2^{1005917230500} is an apocalyptic number.

1005917230500 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 1005917230500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825441013760).

1005917230500 is an abundant number, since it is smaller than the sum of its proper divisors (2644964797020).

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

1005917230500 is a wasteful number, since it uses less digits than its factorization.

1005917230500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93404 (or 93392 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 1005917230500 in words is "one trillion, five billion, nine hundred seventeen million, two hundred thirty thousand, five hundred".