10553752850400 has 1152 divisors, whose sum is σ = 41857985917440. Its totient is φ = 2555697070080.

The previous prime is 10553752850341. The next prime is 10553752850401. The reversal of 10553752850400 is 405825735501.

10553752850400 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 37 + 528 + 50 + 40 + 0 = 666.

It is a super-2 number, since 2×10553752850400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553752850401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1310532774 + ... + 1310540826.

It is an arithmetic number, because the mean of its divisors is an integer number (36335057220).

Almost surely, 2^{10553752850400} is an apocalyptic number.

10553752850400 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 10553752850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20928992958720).

10553752850400 is an abundant number, since it is smaller than the sum of its proper divisors (31304233067040).

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

10553752850400 is a wasteful number, since it uses less digits than its factorization.

10553752850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 10553752850400 in words is "ten trillion, five hundred fifty-three billion, seven hundred fifty-two million, eight hundred fifty thousand, four hundred".