1025008070544 has 280 divisors, whose sum is σ = 3045371512320. Its totient is φ = 333910646784.

The previous prime is 1025008070501. The next prime is 1025008070609. The reversal of 1025008070544 is 4450708005201.

1025008070544 is a `hidden beast` number, since 1 + 0 + 2 + 500 + 80 + 70 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1025008070499 and 1025008070508.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 727471312 + ... + 727472720.

Almost surely, 2^{1025008070544} 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 1025008070544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522685756160).

1025008070544 is an abundant number, since it is smaller than the sum of its proper divisors (2020363441776).

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

1025008070544 is a wasteful number, since it uses less digits than its factorization.

1025008070544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 1025008070544 in words is "one trillion, twenty-five billion, eight million, seventy thousand, five hundred forty-four".