99754470950400 has 1800 divisors, whose sum is σ = 432885652759296. Its totient is φ = 22620023193600.

The previous prime is 99754470950377. The next prime is 99754470950413. The reversal of 99754470950400 is 405907445799.

99754470950400 is a `hidden beast` number, since 9 + 9 + 7 + 54 + 4 + 70 + 9 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6451998670 + ... + 6452014130.

Almost surely, 2^{99754470950400} is an apocalyptic number.

99754470950400 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 99754470950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216442826379648).

99754470950400 is an abundant number, since it is smaller than the sum of its proper divisors (333131181808896).

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

99754470950400 is a wasteful number, since it uses less digits than its factorization.

99754470950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15642 (or 15605 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 99754470950400 in words is "ninety-nine trillion, seven hundred fifty-four billion, four hundred seventy million, nine hundred fifty thousand, four hundred".