126618056510400 has 5040 divisors, whose sum is σ = 609521435568864. Its totient is φ = 24689867489280.

The previous prime is 126618056510347. The next prime is 126618056510441. The reversal of 126618056510400 is 4015650816621.

126618056510400 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 1 + 80 + 56 + 510 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 557788795087 + ... + 557788795313.

Almost surely, 2^{126618056510400} is an apocalyptic number.

126618056510400 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 126618056510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304760717784432).

126618056510400 is an abundant number, since it is smaller than the sum of its proper divisors (482903379058464).

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

126618056510400 is a wasteful number, since it uses less digits than its factorization.

126618056510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 126618056510400 in words is "one hundred twenty-six trillion, six hundred eighteen billion, fifty-six million, five hundred ten thousand, four hundred".