1252890536040 has 576 divisors, whose sum is σ = 5073732518400. Its totient is φ = 265608668160.

The previous prime is 1252890535991. The next prime is 1252890536069. The reversal of 1252890536040 is 406350982521.

1252890536040 is a `hidden beast` number, since 1 + 2 + 5 + 28 + 90 + 536 + 0 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10701097 + ... + 10817543.

It is an arithmetic number, because the mean of its divisors is an integer number (8808563400).

Almost surely, 2^{1252890536040} is an apocalyptic number.

1252890536040 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 1252890536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536866259200).

1252890536040 is an abundant number, since it is smaller than the sum of its proper divisors (3820841982360).

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

1252890536040 is a wasteful number, since it uses less digits than its factorization.

1252890536040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116518 (or 116500 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1252890536040 in words is "one trillion, two hundred fifty-two billion, eight hundred ninety million, five hundred thirty-six thousand, forty".