1011321676800 has 1584 divisors, whose sum is σ = 4061243938752. Its totient is φ = 248433868800.

The previous prime is 1011321676759. The next prime is 1011321676811. The reversal of 1011321676800 is 86761231101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7720012735 + ... + 7720012865.

It is an arithmetic number, because the mean of its divisors is an integer number (2563916628).

Almost surely, 2^{1011321676800} is an apocalyptic number.

1011321676800 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 1011321676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030621969376).

1011321676800 is an abundant number, since it is smaller than the sum of its proper divisors (3049922261952).

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

1011321676800 is a wasteful number, since it uses less digits than its factorization.

1011321676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1011321676800 in words is "one trillion, eleven billion, three hundred twenty-one million, six hundred seventy-six thousand, eight hundred".