47154397086720 has 2816 divisors, whose sum is σ = 212912105472000. Its totient is φ = 9613753712640.

The previous prime is 47154397086689. The next prime is 47154397086757. The reversal of 47154397086720 is 2768079345174.

47154397086720 is a `hidden beast` number, since 4 + 7 + 1 + 543 + 9 + 7 + 0 + 8 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×47154397086720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 236956769181 + ... + 236956769379.

It is an arithmetic number, because the mean of its divisors is an integer number (75607992000).

It is a 1-persistent number, because it is pandigital, but 2⋅47154397086720 = 94308794173440 is not.

Almost surely, 2^{47154397086720} is an apocalyptic number.

47154397086720 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 47154397086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106456052736000).

47154397086720 is an abundant number, since it is smaller than the sum of its proper divisors (165757708385280).

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

47154397086720 is a wasteful number, since it uses less digits than its factorization.

47154397086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 47154397086720 in words is "forty-seven trillion, one hundred fifty-four billion, three hundred ninety-seven million, eighty-six thousand, seven hundred twenty".