1007528679450 has 144 divisors (see below), whose sum is σ = 2785647228000. Its totient is φ = 260886821760.

The previous prime is 1007528679401. The next prime is 1007528679517. The reversal of 1007528679450 is 549768257001.

1007528679450 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 528 + 6 + 79 + 45 + 0 = 666.

It is a super-2 number, since 2×1007528679450² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8247717 + ... + 8368983.

Almost surely, 2^{1007528679450} is an apocalyptic number.

1007528679450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007528679450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392823614000).

1007528679450 is an abundant number, since it is smaller than the sum of its proper divisors (1778118548550).

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

1007528679450 is a wasteful number, since it uses less digits than its factorization.

1007528679450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121821 (or 121813 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1007528679450 in words is "one trillion, seven billion, five hundred twenty-eight million, six hundred seventy-nine thousand, four hundred fifty".