99401970960 has 320 divisors, whose sum is σ = 349222648320. Its totient is φ = 25982208000.

The previous prime is 99401970947. The next prime is 99401970979. The reversal of 99401970960 is 6907910499.

99401970960 is a `hidden beast` number, since 99 + 401 + 97 + 0 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 99401970897 and 99401970906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27756370 + ... + 27759950.

It is an arithmetic number, because the mean of its divisors is an integer number (1091320776).

Almost surely, 2^99401970960 is an apocalyptic number.

99401970960 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 99401970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174611324160).

99401970960 is an abundant number, since it is smaller than the sum of its proper divisors (249820677360).

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

99401970960 is a wasteful number, since it uses less digits than its factorization.

99401970960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 99401970960 in words is "ninety-nine billion, four hundred one million, nine hundred seventy thousand, nine hundred sixty".