99263341382400 has 3402 divisors, whose sum is σ = 415314434323404. Its totient is φ = 23465355264000.

The previous prime is 99263341382377. The next prime is 99263341382473. The reversal of 99263341382400 is 428314336299.

99263341382400 is a `hidden beast` number, since 9 + 9 + 26 + 3 + 341 + 38 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 757735430335 + ... + 757735430465.

Almost surely, 2^{99263341382400} is an apocalyptic number.

99263341382400 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 99263341382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207657217161702).

99263341382400 is an abundant number, since it is smaller than the sum of its proper divisors (316051092941004).

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

99263341382400 is a wasteful number, since it uses less digits than its factorization.

99263341382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 99263341382400 in words is "ninety-nine trillion, two hundred sixty-three billion, three hundred forty-one million, three hundred eighty-two thousand, four hundred".