47125454400 has 672 divisors, whose sum is σ = 183593963520. Its totient is φ = 11730216960.

The previous prime is 47125454399. The next prime is 47125454437. The reversal of 47125454400 is 445452174.

47125454400 is a `hidden beast` number, since 4 + 71 + 2 + 545 + 4 + 40 + 0 = 666.

47125454400 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42724249 + ... + 42725351.

Almost surely, 2^47125454400 is an apocalyptic number.

47125454400 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 47125454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91796981760).

47125454400 is an abundant number, since it is smaller than the sum of its proper divisors (136468509120).

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

47125454400 is a wasteful number, since it uses less digits than its factorization.

47125454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 47125454400 in words is "forty-seven billion, one hundred twenty-five million, four hundred fifty-four thousand, four hundred".