554945126400 has 1512 divisors, whose sum is σ = 2399029532640. Its totient is φ = 124694691840.

The previous prime is 554945126363. The next prime is 554945126453. The reversal of 554945126400 is 4621549455.

554945126400 is a `hidden beast` number, since 5 + 5 + 4 + 94 + 512 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×554945126400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9405849571 + ... + 9405849629.

Almost surely, 2^554945126400 is an apocalyptic number.

554945126400 is a gapful number since it is divisible by the number (50) 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 554945126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199514766320).

554945126400 is an abundant number, since it is smaller than the sum of its proper divisors (1844084406240).

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

554945126400 is an frugal number, since it uses more digits than its factorization.

554945126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 554945126400 in words is "five hundred fifty-four billion, nine hundred forty-five million, one hundred twenty-six thousand, four hundred".