97006150486080 has 2688 divisors, whose sum is σ = 402605199360000. Its totient is φ = 21173466562560.

The previous prime is 97006150486061. The next prime is 97006150486093. The reversal of 97006150486080 is 8068405160079.

97006150486080 is a `hidden beast` number, since 9 + 7 + 0 + 0 + 6 + 150 + 486 + 0 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 277954585746 + ... + 277954586094.

It is an arithmetic number, because the mean of its divisors is an integer number (149778720000).

Almost surely, 2^{97006150486080} is an apocalyptic number.

97006150486080 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 97006150486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201302599680000).

97006150486080 is an abundant number, since it is smaller than the sum of its proper divisors (305599048873920).

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

97006150486080 is a wasteful number, since it uses less digits than its factorization.

97006150486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 97006150486080 in words is "ninety-seven trillion, six billion, one hundred fifty million, four hundred eighty-six thousand, eighty".