97059078144000 has 1760 divisors, whose sum is σ = 414226143055296. Its totient is φ = 22150958284800.

The previous prime is 97059078143947. The next prime is 97059078144001. The reversal of 97059078144000 is 44187095079.

97059078144000 is a `hidden beast` number, since 9 + 7 + 0 + 590 + 7 + 8 + 1 + 4 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97059078144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148635647674 + ... + 148635648326.

Almost surely, 2^{97059078144000} is an apocalyptic number.

97059078144000 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 97059078144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207113071527648).

97059078144000 is an abundant number, since it is smaller than the sum of its proper divisors (317167064911296).

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

97059078144000 is an frugal number, since it uses more digits than its factorization.

97059078144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 97059078144000 in words is "ninety-seven trillion, fifty-nine billion, seventy-eight million, one hundred forty-four thousand".