99978754800 has 240 divisors, whose sum is σ = 326845018080. Its totient is φ = 26114949120.

The previous prime is 99978754783. The next prime is 99978754823. The reversal of 99978754800 is 845787999.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×99978754800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62136396 + ... + 62138004.

It is an arithmetic number, because the mean of its divisors is an integer number (1361854242).

Almost surely, 2^99978754800 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 99978754800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163422509040).

99978754800 is an abundant number, since it is smaller than the sum of its proper divisors (226866263280).

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

99978754800 is a wasteful number, since it uses less digits than its factorization.

99978754800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

It can be divided in two parts, 99978 and 754800, that added together give a triangular number (854778 = T₁₃₀₇).

The spelling of 99978754800 in words is "ninety-nine billion, nine hundred seventy-eight million, seven hundred fifty-four thousand, eight hundred".