96121293840 has 960 divisors, whose sum is σ = 399646420992. Its totient is φ = 21163161600.

The previous prime is 96121293833. The next prime is 96121293871. The reversal of 96121293840 is 4839212169.

96121293840 is a `hidden beast` number, since 9 + 612 + 1 + 29 + 3 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197374077 + ... + 197374563.

Almost surely, 2^96121293840 is an apocalyptic number.

96121293840 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 96121293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199823210496).

96121293840 is an abundant number, since it is smaller than the sum of its proper divisors (303525127152).

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

96121293840 is a wasteful number, since it uses less digits than its factorization.

96121293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 96121293840 in words is "ninety-six billion, one hundred twenty-one million, two hundred ninety-three thousand, eight hundred forty".