97083786240 has 1584 divisors, whose sum is σ = 431021560320. Its totient is φ = 20065812480.

The previous prime is 97083786229. The next prime is 97083786257. The reversal of 97083786240 is 4268738079.

97083786240 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 3 + 7 + 8 + 624 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1329914844 + ... + 1329914916.

Almost surely, 2^97083786240 is an apocalyptic number.

97083786240 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 97083786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215510780160).

97083786240 is an abundant number, since it is smaller than the sum of its proper divisors (333937774080).

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

97083786240 is a wasteful number, since it uses less digits than its factorization.

97083786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 97083786240 in words is "ninety-seven billion, eighty-three million, seven hundred eighty-six thousand, two hundred forty".