47583255902400 has 672 divisors, whose sum is σ = 182718399916800. Its totient is φ = 12012447744000.

The previous prime is 47583255902383. The next prime is 47583255902477. The reversal of 47583255902400 is 420955238574.

47583255902400 is a `hidden beast` number, since 4 + 7 + 5 + 8 + 3 + 2 + 5 + 590 + 2 + 40 + 0 = 666.

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

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, 1190960824 + ... + 1191000776.

Almost surely, 2^{47583255902400} is an apocalyptic number.

47583255902400 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 47583255902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91359199958400).

47583255902400 is an abundant number, since it is smaller than the sum of its proper divisors (135135144014400).

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

47583255902400 is a wasteful number, since it uses less digits than its factorization.

47583255902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41454 (or 41433 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 47583255902400 in words is "forty-seven trillion, five hundred eighty-three billion, two hundred fifty-five million, nine hundred two thousand, four hundred".