47937052800 has 1728 divisors, whose sum is σ = 224283189600. Its totient is φ = 9963233280.

The previous prime is 47937052789. The next prime is 47937052811. The reversal of 47937052800 is 825073974.

It is an interprime number because it is at equal distance from previous prime (47937052789) and next prime (47937052811).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×47937052800² (a number of 22 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 715478367 + ... + 715478433.

Almost surely, 2^47937052800 is an apocalyptic number.

47937052800 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 47937052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112141594800).

47937052800 is an abundant number, since it is smaller than the sum of its proper divisors (176346136800).

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

47937052800 is a wasteful number, since it uses less digits than its factorization.

47937052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47937052800 in words is "forty-seven billion, nine hundred thirty-seven million, fifty-two thousand, eight hundred".