10007752072500 has 720 divisors, whose sum is σ = 39344450745600. Its totient is φ = 2087762688000.

The previous prime is 10007752072469. The next prime is 10007752072501. The reversal of 10007752072500 is 527025770001.

10007752072500 is a `hidden beast` number, since 10 + 0 + 0 + 7 + 7 + 520 + 72 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007752072501) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 182200041 + ... + 182254959.

It is an arithmetic number, because the mean of its divisors is an integer number (54645070480).

Almost surely, 2^{10007752072500} is an apocalyptic number.

10007752072500 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 10007752072500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672225372800).

10007752072500 is an abundant number, since it is smaller than the sum of its proper divisors (29336698673100).

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

10007752072500 is a wasteful number, since it uses less digits than its factorization.

10007752072500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55058 (or 55038 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The spelling of 10007752072500 in words is "ten trillion, seven billion, seven hundred fifty-two million, seventy-two thousand, five hundred".