1025476605648 has 960 divisors, whose sum is σ = 3550956724224. Its totient is φ = 283295232000.

The previous prime is 1025476605599. The next prime is 1025476605661. The reversal of 1025476605648 is 8465066745201.

1025476605648 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 76 + 6 + 0 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1025476605594 and 1025476605603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1895520258 + ... + 1895520798.

Almost surely, 2^{1025476605648} is an apocalyptic number.

1025476605648 is a gapful number since it is divisible by the number (18) 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 1025476605648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775478362112).

1025476605648 is an abundant number, since it is smaller than the sum of its proper divisors (2525480118576).

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

1025476605648 is a wasteful number, since it uses less digits than its factorization.

1025476605648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1025476605648 in words is "one trillion, twenty-five billion, four hundred seventy-six million, six hundred five thousand, six hundred forty-eight".