1005152490760 has 128 divisors (see below), whose sum is σ = 2525378549760. Its totient is φ = 356895302400.

The previous prime is 1005152490757. The next prime is 1005152490827. The reversal of 1005152490760 is 670942515001.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77773659 + ... + 77786581.

It is an arithmetic number, because the mean of its divisors is an integer number (19729519920).

Almost surely, 2^{1005152490760} is an apocalyptic number.

1005152490760 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 1005152490760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262689274880).

1005152490760 is an abundant number, since it is smaller than the sum of its proper divisors (1520226059000).

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

1005152490760 is a wasteful number, since it uses less digits than its factorization.

1005152490760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17099 (or 17095 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 1005152490760 in words is "one trillion, five billion, one hundred fifty-two million, four hundred ninety thousand, seven hundred sixty".