8572250269440 has 1728 divisors, whose sum is σ = 37306414559232. Its totient is φ = 1856087654400.

The previous prime is 8572250269423. The next prime is 8572250269483. The reversal of 8572250269440 is 449620522758.

8572250269440 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 2 + 502 + 6 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1378837212 + ... + 1378843428.

Almost surely, 2^{8572250269440} is an apocalyptic number.

8572250269440 is a gapful number since it is divisible by the number (80) 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 8572250269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653207279616).

8572250269440 is an abundant number, since it is smaller than the sum of its proper divisors (28734164289792).

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

8572250269440 is a wasteful number, since it uses less digits than its factorization.

8572250269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6282 counting only the distinct ones).

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

The spelling of 8572250269440 in words is "eight trillion, five hundred seventy-two billion, two hundred fifty million, two hundred sixty-nine thousand, four hundred forty".