10456213611900 has 288 divisors, whose sum is σ = 35365922324992. Its totient is φ = 2335833676800.

The previous prime is 10456213611871. The next prime is 10456213611947. The reversal of 10456213611900 is 911631265401.

10456213611900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10456213611900² (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 19851747 + ... + 20371653.

Almost surely, 2^{10456213611900} is an apocalyptic number.

10456213611900 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 10456213611900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682961162496).

10456213611900 is an abundant number, since it is smaller than the sum of its proper divisors (24909708713092).

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

10456213611900 is a wasteful number, since it uses less digits than its factorization.

10456213611900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520149 (or 520142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 10456213611900 in words is "ten trillion, four hundred fifty-six billion, two hundred thirteen million, six hundred eleven thousand, nine hundred".