1093200520776 has 384 divisors, whose sum is σ = 3468010291200. Its totient is φ = 279632332800.

The previous prime is 1093200520759. The next prime is 1093200520843. The reversal of 1093200520776 is 6770250023901.

1093200520776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1093200520776³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 701218285 + ... + 701219843.

It is an arithmetic number, because the mean of its divisors is an integer number (9031276800).

Almost surely, 2^{1093200520776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093200520776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734005145600).

1093200520776 is an abundant number, since it is smaller than the sum of its proper divisors (2374809770424).

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

1093200520776 is a wasteful number, since it uses less digits than its factorization.

1093200520776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 1093200520776 in words is "one trillion, ninety-three billion, two hundred million, five hundred twenty thousand, seven hundred seventy-six".