93049128720 has 240 divisors, whose sum is σ = 334861817472. Its totient is φ = 23071887360.

The previous prime is 93049128713. The next prime is 93049128751. The reversal of 93049128720 is 2782194039.

93049128720 is a `hidden beast` number, since 93 + 0 + 491 + 2 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×93049128720² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970125 + ... + 1061715.

Almost surely, 2^93049128720 is an apocalyptic number.

93049128720 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 93049128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167430908736).

93049128720 is an abundant number, since it is smaller than the sum of its proper divisors (241812688752).

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

93049128720 is a wasteful number, since it uses less digits than its factorization.

93049128720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91710 (or 91701 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 93049128720 in words is "ninety-three billion, forty-nine million, one hundred twenty-eight thousand, seven hundred twenty".