47940121921536 has 1152 divisors, whose sum is σ = 160780016517120. Its totient is φ = 14171480064000.

The previous prime is 47940121921519. The next prime is 47940121921577. The reversal of 47940121921536 is 63512912104974.

47940121921536 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 0 + 12 + 1 + 92 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30284346601 + ... + 30284348183.

It is an arithmetic number, because the mean of its divisors is an integer number (139565986560).

Almost surely, 2^{47940121921536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47940121921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80390008258560).

47940121921536 is an abundant number, since it is smaller than the sum of its proper divisors (112839894595584).

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

47940121921536 is a wasteful number, since it uses less digits than its factorization.

47940121921536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 47940121921536 in words is "forty-seven trillion, nine hundred forty billion, one hundred twenty-one million, nine hundred twenty-one thousand, five hundred thirty-six".