98765767895040 has 576 divisors, whose sum is σ = 355540177137600. Its totient is φ = 26296151703552.

The previous prime is 98765767894943. The next prime is 98765767895051. The reversal of 98765767895040 is 4059876756789.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599958896 + ... + 1600020624.

It is an arithmetic number, because the mean of its divisors is an integer number (617257251975).

Almost surely, 2^{98765767895040} is an apocalyptic number.

98765767895040 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 98765767895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177770088568800).

98765767895040 is an abundant number, since it is smaller than the sum of its proper divisors (256774409242560).

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

98765767895040 is an equidigital number, since it uses as much as digits as its factorization.

98765767895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62414 (or 62382 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 81.

The spelling of 98765767895040 in words is "ninety-eight trillion, seven hundred sixty-five billion, seven hundred sixty-seven million, eight hundred ninety-five thousand, forty".