93789062500 has 165 divisors, whose sum is σ = 239343256817. Its totient is φ = 32156250000.

The previous prime is 93789062483. The next prime is 93789062501. The reversal of 93789062500 is 526098739.

The square root of 93789062500 is 306250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 539447076 + 93249615424 = 23226^2 + 305368^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (93789062501) by changing a digit.

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 54 ways as a sum of consecutive naturals, for example, 13398437497 + ... + 13398437503.

Almost surely, 2^93789062500 is an apocalyptic number.

93789062500 is the 306250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93789062500

93789062500 is an abundant number, since it is smaller than the sum of its proper divisors (145554194317).

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

93789062500 is an frugal number, since it uses more digits than its factorization.

93789062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 93789062500 by its sum of digits (49), we get a square (4595664062500 = 2143750²).

93789062500 divided by its sum of digits (49) gives a square (1914062500 = 43750²).

The spelling of 93789062500 in words is "ninety-three billion, seven hundred eighty-nine million, sixty-two thousand, five hundred".