96195939840 has 1920 divisors, whose sum is σ = 462432402432. Its totient is φ = 17836277760.

The previous prime is 96195939821. The next prime is 96195939859. The reversal of 96195939840 is 4893959169.

96195939840 is a `hidden beast` number, since 9 + 619 + 5 + 9 + 3 + 9 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96195939821) and next prime (96195939859).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 991710672 + ... + 991710768.

Almost surely, 2^96195939840 is an apocalyptic number.

96195939840 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 96195939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231216201216).

96195939840 is an abundant number, since it is smaller than the sum of its proper divisors (366236462592).

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

96195939840 is a wasteful number, since it uses less digits than its factorization.

96195939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 96195939840 in words is "ninety-six billion, one hundred ninety-five million, nine hundred thirty-nine thousand, eight hundred forty".