1021116794880 has 1536 divisors, whose sum is σ = 4216259174400. Its totient is φ = 205258752000.

The previous prime is 1021116794851. The next prime is 1021116794941. The reversal of 1021116794880 is 884976111201.

1021116794880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6762362805 + ... + 6762362955.

It is an arithmetic number, because the mean of its divisors is an integer number (2744960400).

Almost surely, 2^{1021116794880} is an apocalyptic number.

1021116794880 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 1021116794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108129587200).

1021116794880 is an abundant number, since it is smaller than the sum of its proper divisors (3195142379520).

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

1021116794880 is a wasteful number, since it uses less digits than its factorization.

1021116794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 1021116794880 in words is "one trillion, twenty-one billion, one hundred sixteen million, seven hundred ninety-four thousand, eight hundred eighty".