65054086272 has 384 divisors, whose sum is σ = 221722475520. Its totient is φ = 17915904000.

The previous prime is 65054086267. The next prime is 65054086277. The reversal of 65054086272 is 27268045056.

65054086272 is a `hidden beast` number, since 6 + 5 + 0 + 540 + 86 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (65054086267) and next prime (65054086277).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×65054086272³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (65054086277) 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, 108242772 + ... + 108243372.

It is an arithmetic number, because the mean of its divisors is an integer number (577402280).

Almost surely, 2^65054086272 is an apocalyptic number.

65054086272 is a gapful number since it is divisible by the number (62) 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 65054086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110861237760).

65054086272 is an abundant number, since it is smaller than the sum of its proper divisors (156668389248).

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

65054086272 is a wasteful number, since it uses less digits than its factorization.

65054086272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 65054086272 in words is "sixty-five billion, fifty-four million, eighty-six thousand, two hundred seventy-two".