98875257062400 has 3168 divisors, whose sum is σ = 446184690352128. Its totient is φ = 20366799667200.

The previous prime is 98875257062303. The next prime is 98875257062459. The reversal of 98875257062400 is 426075257889.

98875257062400 is a `hidden beast` number, since 9 + 8 + 8 + 7 + 52 + 570 + 6 + 2 + 4 + 0 + 0 = 666.

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

It is an unprimeable 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 287 ways as a sum of consecutive naturals, for example, 189054028539 + ... + 189054029061.

Almost surely, 2^{98875257062400} is an apocalyptic number.

98875257062400 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 98875257062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223092345176064).

98875257062400 is an abundant number, since it is smaller than the sum of its proper divisors (347309433289728).

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

98875257062400 is a wasteful number, since it uses less digits than its factorization.

98875257062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 98875257062400 in words is "ninety-eight trillion, eight hundred seventy-five billion, two hundred fifty-seven million, sixty-two thousand, four hundred".