1025949550080 has 640 divisors, whose sum is σ = 4119236352000. Its totient is φ = 216456855552.

The previous prime is 1025949550033. The next prime is 1025949550123. The reversal of 1025949550080 is 800559495201.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34230141 + ... + 34260099.

It is an arithmetic number, because the mean of its divisors is an integer number (6436306800).

Almost surely, 2^{1025949550080} is an apocalyptic number.

1025949550080 is a gapful number since it is divisible by the number (10) 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 1025949550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059618176000).

1025949550080 is an abundant number, since it is smaller than the sum of its proper divisors (3093286801920).

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

1025949550080 is an equidigital number, since it uses as much as digits as its factorization.

1025949550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30019 (or 29989 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 1025949550080 in words is "one trillion, twenty-five billion, nine hundred forty-nine million, five hundred fifty thousand, eighty".