1076986048320 has 448 divisors, whose sum is σ = 4676147965440. Its totient is φ = 227232055296.

The previous prime is 1076986048253. The next prime is 1076986048339. The reversal of 1076986048320 is 238406896701.

1076986048320 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 9 + 8 + 604 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101344 + ... + 1471136.

It is an arithmetic number, because the mean of its divisors is an integer number (10437830280).

Almost surely, 2^{1076986048320} is an apocalyptic number.

1076986048320 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 1076986048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338073982720).

1076986048320 is an abundant number, since it is smaller than the sum of its proper divisors (3599161917120).

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

1076986048320 is a wasteful number, since it uses less digits than its factorization.

1076986048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369839 (or 1369823 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1076986048320 in words is "one trillion, seventy-six billion, nine hundred eighty-six million, forty-eight thousand, three hundred twenty".