93080219561472 has 640 divisors, whose sum is σ = 306827616775680. Its totient is φ = 24652283904000.

The previous prime is 93080219561419. The next prime is 93080219561473. The reversal of 93080219561472 is 27416591208039.

It is a super-2 number, since 2×93080219561472² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93080219561473) 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, 9018522072 + ... + 9018532392.

It is an arithmetic number, because the mean of its divisors is an integer number (479418151212).

It is a 1-persistent number, because it is pandigital, but 2⋅93080219561472 = 186160439122944 is not.

Almost surely, 2^{93080219561472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93080219561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153413808387840).

93080219561472 is an abundant number, since it is smaller than the sum of its proper divisors (213747397214208).

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

93080219561472 is a wasteful number, since it uses less digits than its factorization.

93080219561472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 93080219561472 in words is "ninety-three trillion, eighty billion, two hundred nineteen million, five hundred sixty-one thousand, four hundred seventy-two".