1029863053296 has 640 divisors, whose sum is σ = 3897350553600. Its totient is φ = 252543744000.

The previous prime is 1029863053273. The next prime is 1029863053321. The reversal of 1029863053296 is 6923503689201.

1029863053296 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 8 + 6 + 305 + 329 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 42266365 + ... + 42290723.

It is an arithmetic number, because the mean of its divisors is an integer number (6089610240).

Almost surely, 2^{1029863053296} is an apocalyptic number.

1029863053296 is a gapful number since it is divisible by the number (16) 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 1029863053296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948675276800).

1029863053296 is an abundant number, since it is smaller than the sum of its proper divisors (2867487500304).

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

1029863053296 is a wasteful number, since it uses less digits than its factorization.

1029863053296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24466 (or 24454 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1029863053296 in words is "one trillion, twenty-nine billion, eight hundred sixty-three million, fifty-three thousand, two hundred ninety-six".