97133578542 has 320 divisors, whose sum is σ = 292992505344. Its totient is φ = 23228156160.

The previous prime is 97133578483. The next prime is 97133578543. The reversal of 97133578542 is 24587533179.

97133578542 is a `hidden beast` number, since 9 + 7 + 13 + 3 + 578 + 54 + 2 = 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 (97133578543) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 110756208 + ... + 110757084.

Almost surely, 2^97133578542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97133578542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146496252672).

97133578542 is an abundant number, since it is smaller than the sum of its proper divisors (195858926802).

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

97133578542 is a wasteful number, since it uses less digits than its factorization.

97133578542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1596 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 97133578542 in words is "ninety-seven billion, one hundred thirty-three million, five hundred seventy-eight thousand, five hundred forty-two".