1025527208940 has 960 divisors, whose sum is σ = 3749784192000. Its totient is φ = 233459905536.

The previous prime is 1025527208933. The next prime is 1025527208957. The reversal of 1025527208940 is 498027255201.

1025527208940 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 527 + 2 + 0 + 89 + 40 = 666.

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 319 ways as a sum of consecutive naturals, for example, 5153402961 + ... + 5153403159.

It is an arithmetic number, because the mean of its divisors is an integer number (3906025200).

Almost surely, 2^{1025527208940} is an apocalyptic number.

1025527208940 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 1025527208940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874892096000).

1025527208940 is an abundant number, since it is smaller than the sum of its proper divisors (2724256983060).

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

1025527208940 is a wasteful number, since it uses less digits than its factorization.

1025527208940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1025527208940 in words is "one trillion, twenty-five billion, five hundred twenty-seven million, two hundred eight thousand, nine hundred forty".