98757826490400 has 5184 divisors, whose sum is σ = 471196737478656. Its totient is φ = 17373118464000.

The previous prime is 98757826490353. The next prime is 98757826490437. The reversal of 98757826490400 is 409462875789.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1863355216774 + ... + 1863355216826.

It is an arithmetic number, because the mean of its divisors is an integer number (90894432384).

Almost surely, 2^{98757826490400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98757826490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235598368739328).

98757826490400 is an abundant number, since it is smaller than the sum of its proper divisors (372438910988256).

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

98757826490400 is a wasteful number, since it uses less digits than its factorization.

98757826490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 98757826490400 in words is "ninety-eight trillion, seven hundred fifty-seven billion, eight hundred twenty-six million, four hundred ninety thousand, four hundred".