1038057252864 has 384 divisors, whose sum is σ = 2973766723200. Its totient is φ = 321052999680.

The previous prime is 1038057252847. The next prime is 1038057252917. The reversal of 1038057252864 is 4682527508301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542432432 + ... + 1542433104.

It is an arithmetic number, because the mean of its divisors is an integer number (7744184175).

Almost surely, 2^{1038057252864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038057252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486883361600).

1038057252864 is an abundant number, since it is smaller than the sum of its proper divisors (1935709470336).

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

1038057252864 is a wasteful number, since it uses less digits than its factorization.

1038057252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

It can be divided in two parts, 1038057 and 252864, that added together give a palindrome (1290921).

The spelling of 1038057252864 in words is "one trillion, thirty-eight billion, fifty-seven million, two hundred fifty-two thousand, eight hundred sixty-four".