1010828160000 has 2200 divisors, whose sum is σ = 4234092356736. Its totient is φ = 238878720000.

The previous prime is 1010828159987. The next prime is 1010828160019. The reversal of 1010828160000 is 618280101.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 199 ways as a sum of consecutive naturals, for example, 27319679982 + ... + 27319680018.

Almost surely, 2^{1010828160000} is an apocalyptic number.

1010828160000 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 1010828160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117046178368).

1010828160000 is an abundant number, since it is smaller than the sum of its proper divisors (3223264196736).

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

1010828160000 is an equidigital number, since it uses as much as digits as its factorization.

1010828160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 1010828160000 in words is "one trillion, ten billion, eight hundred twenty-eight million, one hundred sixty thousand".