554763050400 has 432 divisors, whose sum is σ = 1959976116000. Its totient is φ = 136233676800.

The previous prime is 554763050383. The next prime is 554763050419. The reversal of 554763050400 is 4050367455.

It is a super-2 number, since 2×554763050400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202393030 + ... + 202395770.

It is an arithmetic number, because the mean of its divisors is an integer number (4536981750).

Almost surely, 2^554763050400 is an apocalyptic number.

554763050400 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 554763050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979988058000).

554763050400 is an abundant number, since it is smaller than the sum of its proper divisors (1405213065600).

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

554763050400 is a wasteful number, since it uses less digits than its factorization.

554763050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 554763050400 in words is "five hundred fifty-four billion, seven hundred sixty-three million, fifty thousand, four hundred".