54195570450 has 576 divisors, whose sum is σ = 183202560000. Its totient is φ = 11723564160.

The previous prime is 54195570433. The next prime is 54195570463. The reversal of 54195570450 is 5407559145.

It is a happy number.

54195570450 is a `hidden beast` number, since 5 + 4 + 195 + 5 + 7 + 0 + 450 = 666.

54195570450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54195570396 and 54195570405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 272339451 + ... + 272339649.

It is an arithmetic number, because the mean of its divisors is an integer number (318060000).

Almost surely, 2^54195570450 is an apocalyptic number.

54195570450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54195570450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280000).

54195570450 is an abundant number, since it is smaller than the sum of its proper divisors (129006989550).

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

54195570450 is a wasteful number, since it uses less digits than its factorization.

54195570450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 54195570450 in words is "fifty-four billion, one hundred ninety-five million, five hundred seventy thousand, four hundred fifty".