47914976020800 has 672 divisors, whose sum is σ = 190104655380480. Its totient is φ = 10321225113600.

The previous prime is 47914976020729. The next prime is 47914976020837. The reversal of 47914976020800 is 802067941974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 121737922 + ... + 122130878.

Almost surely, 2^{47914976020800} is an apocalyptic number.

47914976020800 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 47914976020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95052327690240).

47914976020800 is an abundant number, since it is smaller than the sum of its proper divisors (142189679359680).

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

47914976020800 is a wasteful number, since it uses less digits than its factorization.

47914976020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393199 (or 393184 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 47914976020800 in words is "forty-seven trillion, nine hundred fourteen billion, nine hundred seventy-six million, twenty thousand, eight hundred".