100097474561280 has 720 divisors, whose sum is σ = 427130985625344. Its totient is φ = 21884661596160.

The previous prime is 100097474561173. The next prime is 100097474561291. The reversal of 100097474561280 is 82165474790001.

100097474561280 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 7 + 4 + 74 + 561 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13694200 + ... + 19690760.

Almost surely, 2^{100097474561280} is an apocalyptic number.

100097474561280 is a gapful number since it is divisible by the number (10) 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 100097474561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213565492812672).

100097474561280 is an abundant number, since it is smaller than the sum of its proper divisors (327033511064064).

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

100097474561280 is an equidigital number, since it uses as much as digits as its factorization.

100097474561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996624 (or 5996601 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 100097474561280 in words is "one hundred trillion, ninety-seven billion, four hundred seventy-four million, five hundred sixty-one thousand, two hundred eighty".