65828172690 has 192 divisors, whose sum is σ = 203403432960. Its totient is φ = 15005269440.

The previous prime is 65828172677. The next prime is 65828172703. The reversal of 65828172690 is 9627182856.

It is an interprime number because it is at equal distance from previous prime (65828172677) and next prime (65828172703).

It is a super-2 number, since 2×65828172690² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 6441685 + ... + 6451895.

It is an arithmetic number, because the mean of its divisors is an integer number (1059392880).

Almost surely, 2^65828172690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65828172690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101701716480).

65828172690 is an abundant number, since it is smaller than the sum of its proper divisors (137575260270).

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

65828172690 is a wasteful number, since it uses less digits than its factorization.

65828172690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 65828172690 in words is "sixty-five billion, eight hundred twenty-eight million, one hundred seventy-two thousand, six hundred ninety".