10077291907200 has 1920 divisors, whose sum is σ = 44761128318720. Its totient is φ = 2182714490880.

The previous prime is 10077291907171. The next prime is 10077291907201. The reversal of 10077291907200 is 270919277001.

It is a happy number.

10077291907200 is a `hidden beast` number, since 1 + 0 + 0 + 77 + 291 + 90 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×10077291907200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10077291907201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4715624532 + ... + 4715626668.

It is an arithmetic number, because the mean of its divisors is an integer number (23313087666).

Almost surely, 2^{10077291907200} is an apocalyptic number.

10077291907200 is a gapful number since it is divisible by the number (10) 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 10077291907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22380564159360).

10077291907200 is an abundant number, since it is smaller than the sum of its proper divisors (34683836411520).

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

10077291907200 is a wasteful number, since it uses less digits than its factorization.

10077291907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 10077291907200 in words is "ten trillion, seventy-seven billion, two hundred ninety-one million, nine hundred seven thousand, two hundred".