97129747866240 has 1024 divisors, whose sum is σ = 383730903360000. Its totient is φ = 23113958031360.

The previous prime is 97129747866223. The next prime is 97129747866241. The reversal of 97129747866240 is 4266874792179.

97129747866240 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 97 + 478 + 6 + 62 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97129747866241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 390248074 + ... + 390496886.

Almost surely, 2^{97129747866240} is an apocalyptic number.

97129747866240 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 97129747866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191865451680000).

97129747866240 is an abundant number, since it is smaller than the sum of its proper divisors (286601155493760).

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

97129747866240 is a wasteful number, since it uses less digits than its factorization.

97129747866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248930 (or 248912 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 97129747866240 in words is "ninety-seven trillion, one hundred twenty-nine billion, seven hundred forty-seven million, eight hundred sixty-six thousand, two hundred forty".