47152715040 has 288 divisors, whose sum is σ = 173266853760. Its totient is φ = 11633467392.

The previous prime is 47152715009. The next prime is 47152715059. The reversal of 47152715040 is 4051725174.

47152715040 is a `hidden beast` number, since 47 + 1 + 527 + 1 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47152714986 and 47152715004.

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, 1427997 + ... + 1460643.

It is an arithmetic number, because the mean of its divisors is an integer number (601621020).

Almost surely, 2^47152715040 is an apocalyptic number.

47152715040 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 47152715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86633426880).

47152715040 is an abundant number, since it is smaller than the sum of its proper divisors (126114138720).

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

47152715040 is a wasteful number, since it uses less digits than its factorization.

47152715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32744 (or 32733 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 47152715040 in words is "forty-seven billion, one hundred fifty-two million, seven hundred fifteen thousand, forty".