1028761651200 has 144 divisors (see below), whose sum is σ = 3400941857040. Its totient is φ = 274336399360.

The previous prime is 1028761651193. The next prime is 1028761651219. The reversal of 1028761651200 is 21561678201.

It is a super-2 number, since 2×1028761651200² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3195234 + ... + 3502433.

It is an arithmetic number, because the mean of its divisors is an integer number (23617651785).

Almost surely, 2^{1028761651200} is an apocalyptic number.

1028761651200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028761651200 is an abundant number, since it is smaller than the sum of its proper divisors (2372180205840).

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

1028761651200 is an equidigital number, since it uses as much as digits as its factorization.

1028761651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697702 (or 6697677 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 1028761651200 in words is "one trillion, twenty-eight billion, seven hundred sixty-one million, six hundred fifty-one thousand, two hundred".