20154735351072 has 288 divisors, whose sum is σ = 67281917818752. Its totient is φ = 5602137956352.

The previous prime is 20154735351071. The next prime is 20154735351137. The reversal of 20154735351072 is 27015353745102.

20154735351072 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 4 + 7 + 3 + 535 + 107 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20154735351071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867717123 + ... + 867740349.

It is an arithmetic number, because the mean of its divisors is an integer number (233617770204).

Almost surely, 2^{20154735351072} 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 20154735351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33640958909376).

20154735351072 is an abundant number, since it is smaller than the sum of its proper divisors (47127182467680).

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

20154735351072 is a wasteful number, since it uses less digits than its factorization.

20154735351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34920 (or 34909 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 20154735351072 in words is "twenty trillion, one hundred fifty-four billion, seven hundred thirty-five million, three hundred fifty-one thousand, seventy-two".