1025917643520 has 1440 divisors, whose sum is σ = 4623352183296. Its totient is φ = 211009536000.

The previous prime is 1025917643489. The next prime is 1025917643537. The reversal of 1025917643520 is 253467195201.

1025917643520 is a `hidden beast` number, since 1 + 0 + 2 + 59 + 1 + 76 + 4 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1025917643520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 854218920 + ... + 854220120.

Almost surely, 2^{1025917643520} is an apocalyptic number.

1025917643520 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 1025917643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311676091648).

1025917643520 is an abundant number, since it is smaller than the sum of its proper divisors (3597434539776).

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

1025917643520 is a wasteful number, since it uses less digits than its factorization.

1025917643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1025917643520 in words is "one trillion, twenty-five billion, nine hundred seventeen million, six hundred forty-three thousand, five hundred twenty".