126451163750400 has 1680 divisors, whose sum is σ = 504615591963648. Its totient is φ = 31210831872000.

The previous prime is 126451163750371. The next prime is 126451163750407. The reversal of 126451163750400 is 4057361154621.

It is a happy number.

126451163750400 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 5 + 1 + 1 + 637 + 5 + 0 + 4 + 0 + 0 = 666.

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 (126451163750407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11827809055 + ... + 11827819745.

Almost surely, 2^{126451163750400} is an apocalyptic number.

126451163750400 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 126451163750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252307795981824).

126451163750400 is an abundant number, since it is smaller than the sum of its proper divisors (378164428213248).

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

126451163750400 is a wasteful number, since it uses less digits than its factorization.

126451163750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 126451163750400 in words is "one hundred twenty-six trillion, four hundred fifty-one billion, one hundred sixty-three million, seven hundred fifty thousand, four hundred".