93951420480 has 504 divisors, whose sum is σ = 340717385112. Its totient is φ = 24670199808.

The previous prime is 93951420461. The next prime is 93951420503. The reversal of 93951420480 is 8402415939.

93951420480 is a `hidden beast` number, since 9 + 39 + 514 + 20 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 93944702016 = 2592^2 + 306504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 153264654 + ... + 153265266.

Almost surely, 2^93951420480 is an apocalyptic number.

93951420480 is a gapful number since it is divisible by the number (90) 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 93951420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170358692556).

93951420480 is an abundant number, since it is smaller than the sum of its proper divisors (246765964632).

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

93951420480 is an frugal number, since it uses more digits than its factorization.

93951420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 93951420480 in words is "ninety-three billion, nine hundred fifty-one million, four hundred twenty thousand, four hundred eighty".