1023051078720 has 336 divisors, whose sum is σ = 3847563308160. Its totient is φ = 247444070400.

The previous prime is 1023051078719. The next prime is 1023051078737. The reversal of 1023051078720 is 278701503201.

1023051078720 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 510 + 78 + 72 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 13870740 + ... + 13944300.

Almost surely, 2^{1023051078720} is an apocalyptic number.

1023051078720 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 1023051078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923781654080).

1023051078720 is an abundant number, since it is smaller than the sum of its proper divisors (2824512229440).

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

1023051078720 is a wasteful number, since it uses less digits than its factorization.

1023051078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74034 (or 74021 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1023051078720 in words is "one trillion, twenty-three billion, fifty-one million, seventy-eight thousand, seven hundred twenty".