1023456206880 has 192 divisors, whose sum is σ = 3587542358400. Its totient is φ = 272506752000.

The previous prime is 1023456206809. The next prime is 1023456206917. The reversal of 1023456206880 is 886026543201.

1023456206880 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 562 + 0 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667130 + ... + 3026630.

It is an arithmetic number, because the mean of its divisors is an integer number (18685116450).

Almost surely, 2^{1023456206880} is an apocalyptic number.

1023456206880 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 1023456206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793771179200).

1023456206880 is an abundant number, since it is smaller than the sum of its proper divisors (2564086151520).

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

1023456206880 is a wasteful number, since it uses less digits than its factorization.

1023456206880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360184 (or 360170 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1023456206880 in words is "one trillion, twenty-three billion, four hundred fifty-six million, two hundred six thousand, eight hundred eighty".