10207212548400 has 480 divisors, whose sum is σ = 41576544089600. Its totient is φ = 2329907328000.

The previous prime is 10207212548389. The next prime is 10207212548441. The reversal of 10207212548400 is 484521270201.

10207212548400 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 72 + 1 + 2 + 548 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55777050 + ... + 55959750.

Almost surely, 2^{10207212548400} is an apocalyptic number.

10207212548400 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 10207212548400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788272044800).

10207212548400 is an abundant number, since it is smaller than the sum of its proper divisors (31369331541200).

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

10207212548400 is a wasteful number, since it uses less digits than its factorization.

10207212548400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183474 (or 183457 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10207212548400 in words is "ten trillion, two hundred seven billion, two hundred twelve million, five hundred forty-eight thousand, four hundred".