10054530314400 has 288 divisors, whose sum is σ = 38449087725888. Its totient is φ = 2249964748800.

The previous prime is 10054530314371. The next prime is 10054530314417. The reversal of 10054530314400 is 441303545001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14305009 + ... + 14991408.

It is an arithmetic number, because the mean of its divisors is an integer number (133503776826).

Almost surely, 2^{10054530314400} is an apocalyptic number.

10054530314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10054530314400 is an abundant number, since it is smaller than the sum of its proper divisors (28394557411488).

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

10054530314400 is a wasteful number, since it uses less digits than its factorization.

10054530314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29296464 (or 29296451 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10054530314400 its reverse (441303545001), we get a palindrome (10495833859401).

The spelling of 10054530314400 in words is "ten trillion, fifty-four billion, five hundred thirty million, three hundred fourteen thousand, four hundred".