97438253379040 has 384 divisors, whose sum is σ = 272452974796800. Its totient is φ = 32224739328000.

The previous prime is 97438253379023. The next prime is 97438253379053. The reversal of 97438253379040 is 4097335283479.

It is a super-2 number, since 2×97438253379040² (a number of 29 digits) contains 22 as substring.

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, 36101611611 + ... + 36101614309.

It is an arithmetic number, because the mean of its divisors is an integer number (709512955200).

Almost surely, 2^{97438253379040} 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 97438253379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136226487398400).

97438253379040 is an abundant number, since it is smaller than the sum of its proper divisors (175014721417760).

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

97438253379040 is a wasteful number, since it uses less digits than its factorization.

97438253379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 64.

The spelling of 97438253379040 in words is "ninety-seven trillion, four hundred thirty-eight billion, two hundred fifty-three million, three hundred seventy-nine thousand, forty".