97268228457840 has 1200 divisors, whose sum is σ = 391864160651040. Its totient is φ = 22172045967360.

The previous prime is 97268228457839. The next prime is 97268228457887. The reversal of 97268228457840 is 4875482286279.

97268228457840 is a `hidden beast` number, since 9 + 7 + 2 + 6 + 8 + 2 + 2 + 8 + 4 + 578 + 40 = 666.

It is a super-2 number, since 2×97268228457840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34875663166 + ... + 34875665954.

Almost surely, 2^{97268228457840} is an apocalyptic number.

97268228457840 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 97268228457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195932080325520).

97268228457840 is an abundant number, since it is smaller than the sum of its proper divisors (294595932193200).

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

97268228457840 is a wasteful number, since it uses less digits than its factorization.

97268228457840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 97268228457840 in words is "ninety-seven trillion, two hundred sixty-eight billion, two hundred twenty-eight million, four hundred fifty-seven thousand, eight hundred forty".