1049993878752 has 576 divisors, whose sum is σ = 3839261497344. Its totient is φ = 274874757120.

The previous prime is 1049993878643. The next prime is 1049993878793. The reversal of 1049993878752 is 2578783999401.

1049993878752 is a `hidden beast` number, since 1 + 0 + 499 + 9 + 3 + 8 + 7 + 87 + 52 = 666.

It is a super-2 number, since 2×1049993878752² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96937977 + ... + 96948807.

It is an arithmetic number, because the mean of its divisors is an integer number (6665384544).

Almost surely, 2^{1049993878752} is an apocalyptic number.

1049993878752 is a gapful number since it is divisible by the number (12) 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 1049993878752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919630748672).

1049993878752 is an abundant number, since it is smaller than the sum of its proper divisors (2789267618592).

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

1049993878752 is a wasteful number, since it uses less digits than its factorization.

1049993878752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 1049993878752 in words is "one trillion, forty-nine billion, nine hundred ninety-three million, eight hundred seventy-eight thousand, seven hundred fifty-two".