477603540051000 has 256 divisors, whose sum is σ = 1625907656056320. Its totient is φ = 115759964160000.

The previous prime is 477603540050947. The next prime is 477603540051059. The reversal of 477603540051000 is 150045306774.

It is a happy number.

It is a super-2 number, since 2×477603540051000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167114040 + ... + 169947960.

It is an arithmetic number, because the mean of its divisors is an integer number (6351201781470).

Almost surely, 2^{477603540051000} is an apocalyptic number.

477603540051000 is a gapful number since it is divisible by the number (40) 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 477603540051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812953828028160).

477603540051000 is an abundant number, since it is smaller than the sum of its proper divisors (1148304116005320).

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

477603540051000 is a wasteful number, since it uses less digits than its factorization.

477603540051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839063 (or 2839049 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

Adding to 477603540051000 its reverse (150045306774), we get a palindrome (477753585357774).

The spelling of 477603540051000 in words is "four hundred seventy-seven trillion, six hundred three billion, five hundred forty million, fifty-one thousand".