47106048971520 has 864 divisors, whose sum is σ = 203278401930240. Its totient is φ = 9784414863360.

The previous prime is 47106048971489. The next prime is 47106048971521. The reversal of 47106048971520 is 2517984060174.

47106048971520 is a `hidden beast` number, since 4 + 7 + 1 + 0 + 6 + 0 + 48 + 9 + 71 + 520 = 666.

It is a super-2 number, since 2×47106048971520² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47106048971521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2622968301 + ... + 2622986259.

It is an arithmetic number, because the mean of its divisors is an integer number (235275928160).

Almost surely, 2^{47106048971520} is an apocalyptic number.

47106048971520 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 47106048971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101639200965120).

47106048971520 is an abundant number, since it is smaller than the sum of its proper divisors (156172352958720).

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

47106048971520 is a wasteful number, since it uses less digits than its factorization.

47106048971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20961 (or 20944 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 47106048971520 in words is "forty-seven trillion, one hundred six billion, forty-eight million, nine hundred seventy-one thousand, five hundred twenty".