47953598400 has 672 divisors, whose sum is σ = 189101984000. Its totient is φ = 11779706880.

The previous prime is 47953598359. The next prime is 47953598431. The reversal of 47953598400 is 489535974.

47953598400 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 3 + 598 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 30368811 + ... + 30370389.

Almost surely, 2^47953598400 is an apocalyptic number.

47953598400 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 47953598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94550992000).

47953598400 is an abundant number, since it is smaller than the sum of its proper divisors (141148385600).

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

47953598400 is a wasteful number, since it uses less digits than its factorization.

47953598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 47953598400 in words is "forty-seven billion, nine hundred fifty-three million, five hundred ninety-eight thousand, four hundred".