1025772996864 has 432 divisors, whose sum is σ = 3494311664256. Its totient is φ = 261398691840.

The previous prime is 1025772996863. The next prime is 1025772996953. The reversal of 1025772996864 is 4686992775201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1025772996795 and 1025772996804.

It is not an unprimeable number, because it can be changed into a prime (1025772996863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34461412 + ... + 34491164.

It is an arithmetic number, because the mean of its divisors is an integer number (8088684408).

Almost surely, 2^{1025772996864} is an apocalyptic number.

1025772996864 is a gapful number since it is divisible by the number (14) 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 1025772996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747155832128).

1025772996864 is an abundant number, since it is smaller than the sum of its proper divisors (2468538667392).

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

1025772996864 is a wasteful number, since it uses less digits than its factorization.

1025772996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29854 (or 29829 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 1025772996864 in words is "one trillion, twenty-five billion, seven hundred seventy-two million, nine hundred ninety-six thousand, eight hundred sixty-four".