98919810662400 has 2040 divisors, whose sum is σ = 451088383606784. Its totient is φ = 20868444979200.

The previous prime is 98919810662363. The next prime is 98919810662447. The reversal of 98919810662400 is 426601891989.

98919810662400 is a `hidden beast` number, since 9 + 8 + 91 + 9 + 81 + 0 + 6 + 62 + 400 = 666.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 12076642305 + ... + 12076650495.

Almost surely, 2^{98919810662400} is an apocalyptic number.

98919810662400 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 98919810662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225544191803392).

98919810662400 is an abundant number, since it is smaller than the sum of its proper divisors (352168572944384).

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

98919810662400 is an equidigital number, since it uses as much as digits as its factorization.

98919810662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 98919810662400 in words is "ninety-eight trillion, nine hundred nineteen billion, eight hundred ten million, six hundred sixty-two thousand, four hundred".