97075851840 has 448 divisors, whose sum is σ = 393265152000. Its totient is φ = 22294517760.

The previous prime is 97075851811. The next prime is 97075851841. The reversal of 97075851840 is 4815857079.

97075851840 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 585 + 18 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97075851841) 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 63 ways as a sum of consecutive naturals, for example, 1778881 + ... + 1832639.

It is an arithmetic number, because the mean of its divisors is an integer number (877824000).

Almost surely, 2^97075851840 is an apocalyptic number.

97075851840 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 97075851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196632576000).

97075851840 is an abundant number, since it is smaller than the sum of its proper divisors (296189300160).

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

97075851840 is a wasteful number, since it uses less digits than its factorization.

97075851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53815 (or 53799 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 97075851840 in words is "ninety-seven billion, seventy-five million, eight hundred fifty-one thousand, eight hundred forty".