10485451905600 has 1008 divisors, whose sum is σ = 41090199898176. Its totient is φ = 2333140992000.

The previous prime is 10485451905587. The next prime is 10485451905619. The reversal of 10485451905600 is 650915458401.

It is a super-2 number, since 2×10485451905600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10485451905600.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1632990390 + ... + 1632996810.

Almost surely, 2^{10485451905600} is an apocalyptic number.

10485451905600 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 10485451905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20545099949088).

10485451905600 is an abundant number, since it is smaller than the sum of its proper divisors (30604747992576).

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

10485451905600 is a wasteful number, since it uses less digits than its factorization.

10485451905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 10485451905600 in words is "ten trillion, four hundred eighty-five billion, four hundred fifty-one million, nine hundred five thousand, six hundred".