1006264525420 has 192 divisors, whose sum is σ = 2755701430272. Its totient is φ = 299287296000.

The previous prime is 1006264525417. The next prime is 1006264525429. The reversal of 1006264525420 is 245254626001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006264525420.

It is not an unprimeable number, because it can be changed into a prime (1006264525429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14878080 + ... + 14945560.

It is an arithmetic number, because the mean of its divisors is an integer number (14352611616).

Almost surely, 2^{1006264525420} is an apocalyptic number.

1006264525420 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 1006264525420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377850715136).

1006264525420 is an abundant number, since it is smaller than the sum of its proper divisors (1749436904852).

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

1006264525420 is a wasteful number, since it uses less digits than its factorization.

1006264525420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67952 (or 67950 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 1006264525420 in words is "one trillion, six billion, two hundred sixty-four million, five hundred twenty-five thousand, four hundred twenty".