10549545494400 has 1440 divisors, whose sum is σ = 43952330646840. Its totient is φ = 2488071168000.

The previous prime is 10549545494399. The next prime is 10549545494417. The reversal of 10549545494400 is 449454594501.

10549545494400 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 54 + 549 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×10549545494400⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1160433855 + ... + 1160442945.

Almost surely, 2^{10549545494400} is an apocalyptic number.

10549545494400 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 10549545494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976165323420).

10549545494400 is an abundant number, since it is smaller than the sum of its proper divisors (33402785152440).

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

10549545494400 is a wasteful number, since it uses less digits than its factorization.

10549545494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 10549545494400 in words is "ten trillion, five hundred forty-nine billion, five hundred forty-five million, four hundred ninety-four thousand, four hundred".