54487870928100 has 243 divisors, whose sum is σ = 171798103792497. Its totient is φ = 14444767733760.

The previous prime is 54487870928083. The next prime is 54487870928137. The reversal of 54487870928100 is 182907878445.

The square root of 54487870928100 is 7381590.

It is a perfect power (a square), and thus also a powerful number.

54487870928100 is a `hidden beast` number, since 5 + 4 + 487 + 8 + 70 + 9 + 2 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7339103610084 + 47148767318016 = 2709078^2 + 6866496^2 .

It is a super-2 number, since 2×54487870928100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43625196276 + ... + 43625197524.

Almost surely, 2^{54487870928100} is an apocalyptic number.

54487870928100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54487870928100 is the 7381590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54487870928100

54487870928100 is an abundant number, since it is smaller than the sum of its proper divisors (117310232864397).

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

54487870928100 is a wasteful number, since it uses less digits than its factorization.

54487870928100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 54487870928100 in words is "fifty-four trillion, four hundred eighty-seven billion, eight hundred seventy million, nine hundred twenty-eight thousand, one hundred".