1039853511648 has 384 divisors, whose sum is σ = 3652619443200. Its totient is φ = 281154779136.

The previous prime is 1039853511643. The next prime is 1039853511679. The reversal of 1039853511648 is 8461153589301.

1039853511648 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 85 + 3 + 511 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1039853511594 and 1039853511603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1039853511643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116401390 + ... + 116410322.

It is an arithmetic number, because the mean of its divisors is an integer number (9512029800).

Almost surely, 2^{1039853511648} is an apocalyptic number.

1039853511648 is a gapful number since it is divisible by the number (18) 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 1039853511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826309721600).

1039853511648 is an abundant number, since it is smaller than the sum of its proper divisors (2612765931552).

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

1039853511648 is a wasteful number, since it uses less digits than its factorization.

1039853511648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9991 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1039853511648 in words is "one trillion, thirty-nine billion, eight hundred fifty-three million, five hundred eleven thousand, six hundred forty-eight".