97001135280 has 800 divisors, whose sum is σ = 401970843648. Its totient is φ = 21212928000.

The previous prime is 97001135269. The next prime is 97001135317. The reversal of 97001135280 is 8253110079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 142021819 + ... + 142022501.

Almost surely, 2^97001135280 is an apocalyptic number.

97001135280 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 97001135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200985421824).

97001135280 is an abundant number, since it is smaller than the sum of its proper divisors (304969708368).

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

97001135280 is a wasteful number, since it uses less digits than its factorization.

97001135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 97001135280 in words is "ninety-seven billion, one million, one hundred thirty-five thousand, two hundred eighty".