98775964755072 has 1152 divisors, whose sum is σ = 345635494364160. Its totient is φ = 26957297664000.

The previous prime is 98775964755067. The next prime is 98775964755107. The reversal of 98775964755072 is 27055746957789.

98775964755072 is a `hidden beast` number, since 9 + 8 + 7 + 7 + 5 + 96 + 475 + 50 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 98775964754982 and 98775964755000.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3677286922 + ... + 3677313782.

It is an arithmetic number, because the mean of its divisors is an integer number (300030811080).

Almost surely, 2^{98775964755072} is an apocalyptic number.

98775964755072 is a gapful number since it is divisible by the number (92) 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 98775964755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172817747182080).

98775964755072 is an abundant number, since it is smaller than the sum of its proper divisors (246859529609088).

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

98775964755072 is a wasteful number, since it uses less digits than its factorization.

98775964755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26968 counting only the distinct ones).

The product of its (nonzero) digits is 9335088000, while the sum is 81.

The spelling of 98775964755072 in words is "ninety-eight trillion, seven hundred seventy-five billion, nine hundred sixty-four million, seven hundred fifty-five thousand, seventy-two".