97802340552 has 384 divisors, whose sum is σ = 339206400000. Its totient is φ = 24782174208.

The previous prime is 97802340547. The next prime is 97802340557. The reversal of 97802340552 is 25504320879.

97802340552 is a `hidden beast` number, since 9 + 78 + 0 + 23 + 4 + 0 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (97802340547) and next prime (97802340557).

It is a junction number, because it is equal to n+sod(n) for n = 97802340498 and 97802340507.

It is not an unprimeable number, because it can be changed into a prime (97802340557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32394099 + ... + 32397117.

It is an arithmetic number, because the mean of its divisors is an integer number (883350000).

Almost surely, 2^97802340552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97802340552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169603200000).

97802340552 is an abundant number, since it is smaller than the sum of its proper divisors (241404059448).

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

97802340552 is a wasteful number, since it uses less digits than its factorization.

97802340552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 97802340552 in words is "ninety-seven billion, eight hundred two million, three hundred forty thousand, five hundred fifty-two".