65956151040 has 576 divisors, whose sum is σ = 234422729856. Its totient is φ = 15703474176.

The previous prime is 65956151021. The next prime is 65956151057. The reversal of 65956151040 is 4015165956.

It is a super-2 number, since 2×65956151040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65956150983 and 65956151001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256638592 + ... + 256638848.

It is an arithmetic number, because the mean of its divisors is an integer number (406983906).

Almost surely, 2^65956151040 is an apocalyptic number.

65956151040 is a gapful number since it is divisible by the number (60) 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 65956151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117211364928).

65956151040 is an abundant number, since it is smaller than the sum of its proper divisors (168466578816).

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

65956151040 is a wasteful number, since it uses less digits than its factorization.

65956151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 65956151040 in words is "sixty-five billion, nine hundred fifty-six million, one hundred fifty-one thousand, forty".