554295421706400 has 2880 divisors, whose sum is σ = 2305381606133760. Its totient is φ = 129459762432000.

The previous prime is 554295421706359. The next prime is 554295421706407. The reversal of 554295421706400 is 4607124592455.

554295421706400 is a `hidden beast` number, since 5 + 5 + 4 + 2 + 95 + 421 + 70 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (554295421706407) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1013337150927 + ... + 1013337151473.

It is an arithmetic number, because the mean of its divisors is an integer number (800479724352).

Almost surely, 2^{554295421706400} is an apocalyptic number.

554295421706400 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 554295421706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152690803066880).

554295421706400 is an abundant number, since it is smaller than the sum of its proper divisors (1751086184427360).

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

554295421706400 is a wasteful number, since it uses less digits than its factorization.

554295421706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 554295421706400 in words is "five hundred fifty-four trillion, two hundred ninety-five billion, four hundred twenty-one million, seven hundred six thousand, four hundred".