10537121246400 has 1008 divisors, whose sum is σ = 43956240906240. Its totient is φ = 2344378982400.

The previous prime is 10537121246371. The next prime is 10537121246467. The reversal of 10537121246400 is 464212173501.

10537121246400 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 1 + 2 + 1 + 2 + 4 + 640 + 0 = 666.

10537121246400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10537121246400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 565377882 + ... + 565396518.

Almost surely, 2^{10537121246400} is an apocalyptic number.

10537121246400 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 10537121246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978120453120).

10537121246400 is an abundant number, since it is smaller than the sum of its proper divisors (33419119659840).

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

10537121246400 is a wasteful number, since it uses less digits than its factorization.

10537121246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18822 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10537121246400 in words is "ten trillion, five hundred thirty-seven billion, one hundred twenty-one million, two hundred forty-six thousand, four hundred".