96821460540 has 384 divisors, whose sum is σ = 350138880000. Its totient is φ = 21755630592.

The previous prime is 96821460523. The next prime is 96821460569. The reversal of 96821460540 is 4506412869.

96821460540 = T₁ + T₂ + ... + T₈₃₄₃.

96821460540 is a `hidden beast` number, since 9 + 68 + 2 + 1 + 46 + 0 + 540 = 666.

96821460540 is a nontrivial binomial coefficient, being equal to C(8345, 3).

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

It is a congruent number.

It is an unprimeable number.

It is the 8343-rd tetrahedral number.

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 127 ways as a sum of consecutive naturals, for example, 58010826 + ... + 58012494.

It is an arithmetic number, because the mean of its divisors is an integer number (911820000).

Almost surely, 2^96821460540 is an apocalyptic number.

96821460540 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 96821460540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175069440000).

96821460540 is an abundant number, since it is smaller than the sum of its proper divisors (253317419460).

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

96821460540 is a wasteful number, since it uses less digits than its factorization.

96821460540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 96821460540 in words is "ninety-six billion, eight hundred twenty-one million, four hundred sixty thousand, five hundred forty".