97420392195840 has 576 divisors, whose sum is σ = 407838805893120. Its totient is φ = 21549209518080.

The previous prime is 97420392195839. The next prime is 97420392195851. The reversal of 97420392195840 is 4859129302479.

97420392195840 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 0 + 39 + 2 + 19 + 584 + 0 = 666.

97420392195840 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004412 + ... + 13994628.

Almost surely, 2^{97420392195840} is an apocalyptic number.

97420392195840 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 97420392195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203919402946560).

97420392195840 is an abundant number, since it is smaller than the sum of its proper divisors (310418413697280).

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

97420392195840 is a wasteful number, since it uses less digits than its factorization.

97420392195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12990285 (or 12990265 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 97420392195840 in words is "ninety-seven trillion, four hundred twenty billion, three hundred ninety-two million, one hundred ninety-five thousand, eight hundred forty".