126752558400 has 840 divisors, whose sum is σ = 523725062784. Its totient is φ = 29834956800.

The previous prime is 126752558369. The next prime is 126752558411. The reversal of 126752558400 is 4855257621.

126752558400 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 52 + 558 + 40 + 0 = 666.

It is a super-3 number, since 3×126752558400³ (a number of 34 digits) contains 333 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38748765 + ... + 38752035.

Almost surely, 2^126752558400 is an apocalyptic number.

126752558400 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 126752558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261862531392).

126752558400 is an abundant number, since it is smaller than the sum of its proper divisors (396972504384).

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

126752558400 is a wasteful number, since it uses less digits than its factorization.

126752558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 126752558400 in words is "one hundred twenty-six billion, seven hundred fifty-two million, five hundred fifty-eight thousand, four hundred".