47781190800 has 360 divisors, whose sum is σ = 191908471040. Its totient is φ = 10782720000.

The previous prime is 47781190799. The next prime is 47781190829. The reversal of 47781190800 is 809118774.

47781190800 is a `hidden beast` number, since 477 + 8 + 11 + 90 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1978800 + ... + 2002800.

Almost surely, 2^47781190800 is an apocalyptic number.

47781190800 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 47781190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95954235520).

47781190800 is an abundant number, since it is smaller than the sum of its proper divisors (144127280240).

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

47781190800 is a wasteful number, since it uses less digits than its factorization.

47781190800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24111 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 47781190800 in words is "forty-seven billion, seven hundred eighty-one million, one hundred ninety thousand, eight hundred".