96861308544 has 1792 divisors, whose sum is σ = 418045743360. Its totient is φ = 21499084800.

The previous prime is 96861308519. The next prime is 96861308611. The reversal of 96861308544 is 44580316869.

96861308544 is a `hidden beast` number, since 9 + 6 + 8 + 61 + 30 + 8 + 544 = 666.

It is a super-2 number, since 2×96861308544² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1587890274 + ... + 1587890334.

It is an arithmetic number, because the mean of its divisors is an integer number (233284455).

Almost surely, 2^96861308544 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 96861308544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209022871680).

96861308544 is an abundant number, since it is smaller than the sum of its proper divisors (321184434816).

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

96861308544 is a wasteful number, since it uses less digits than its factorization.

96861308544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 96861308544 in words is "ninety-six billion, eight hundred sixty-one million, three hundred eight thousand, five hundred forty-four".