99387870296400 has 1200 divisors, whose sum is σ = 422182636022400. Its totient is φ = 22377996748800.

The previous prime is 99387870296291. The next prime is 99387870296411. The reversal of 99387870296400 is 469207878399.

99387870296400 is a `hidden beast` number, since 99 + 38 + 7 + 87 + 0 + 29 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 744517660 + ... + 744651140.

It is an arithmetic number, because the mean of its divisors is an integer number (351818863352).

Almost surely, 2^{99387870296400} is an apocalyptic number.

99387870296400 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 99387870296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211091318011200).

99387870296400 is an abundant number, since it is smaller than the sum of its proper divisors (322794765726000).

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

99387870296400 is a wasteful number, since it uses less digits than its factorization.

99387870296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133599 (or 133565 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 99387870296400 in words is "ninety-nine trillion, three hundred eighty-seven billion, eight hundred seventy million, two hundred ninety-six thousand, four hundred".