47920252800 has 384 divisors, whose sum is σ = 191000989440. Its totient is φ = 10308648960.

The previous prime is 47920252763. The next prime is 47920252871. The reversal of 47920252800 is 825202974.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121427 + ... + 1163373.

It is an arithmetic number, because the mean of its divisors is an integer number (497398410).

Almost surely, 2^47920252800 is an apocalyptic number.

47920252800 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 47920252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95500494720).

47920252800 is an abundant number, since it is smaller than the sum of its proper divisors (143080736640).

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

47920252800 is a wasteful number, since it uses less digits than its factorization.

47920252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41998 (or 41981 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 47920252800 in words is "forty-seven billion, nine hundred twenty million, two hundred fifty-two thousand, eight hundred".