10126552550400 has 1584 divisors, whose sum is σ = 42782760165600. Its totient is φ = 2256194764800.

The previous prime is 10126552550377. The next prime is 10126552550467. The reversal of 10126552550400 is 405525562101.

10126552550400 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 65 + 5 + 2 + 550 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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, 9653529076 + ... + 9653530124.

Almost surely, 2^{10126552550400} is an apocalyptic number.

10126552550400 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 10126552550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391380082800).

10126552550400 is an abundant number, since it is smaller than the sum of its proper divisors (32656207615200).

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

10126552550400 is a wasteful number, since it uses less digits than its factorization.

10126552550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10126552550400 in words is "ten trillion, one hundred twenty-six billion, five hundred fifty-two million, five hundred fifty thousand, four hundred".