47906401989600 has 2592 divisors, whose sum is σ = 231666849872640. Its totient is φ = 9430036070400.

The previous prime is 47906401989587. The next prime is 47906401989637. The reversal of 47906401989600 is 698910460974.

47906401989600 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 6 + 4 + 0 + 19 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3128471544 + ... + 3128486856.

Almost surely, 2^{47906401989600} is an apocalyptic number.

47906401989600 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 47906401989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115833424936320).

47906401989600 is an abundant number, since it is smaller than the sum of its proper divisors (183760447883040).

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

47906401989600 is a wasteful number, since it uses less digits than its factorization.

47906401989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15396 (or 15360 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 47906401989600 in words is "forty-seven trillion, nine hundred six billion, four hundred one million, nine hundred eighty-nine thousand, six hundred".