10851253646400 has 1680 divisors, whose sum is σ = 42581426899968. Its totient is φ = 2715939072000.

The previous prime is 10851253646393. The next prime is 10851253646407. The reversal of 10851253646400 is 464635215801.

10851253646400 is a `hidden beast` number, since 1 + 0 + 8 + 51 + 2 + 536 + 4 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10851253646393) and next prime (10851253646407).

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 (10851253646407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 51427742295 + ... + 51427742505.

Almost surely, 2^{10851253646400} is an apocalyptic number.

10851253646400 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 10851253646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290713449984).

10851253646400 is an abundant number, since it is smaller than the sum of its proper divisors (31730173253568).

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

10851253646400 is an frugal number, since it uses more digits than its factorization.

10851253646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10851253646400 in words is "ten trillion, eight hundred fifty-one billion, two hundred fifty-three million, six hundred forty-six thousand, four hundred".