42693209352072 has 24 divisors (see below), whose sum is σ = 115627441995390. Its totient is φ = 14231069784000.

The previous prime is 42693209352071. The next prime is 42693209352107. The reversal of 42693209352072 is 27025390239624.

42693209352072 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 3 + 20 + 93 + 520 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41447766744036 + 1245442608036 = 6437994^2 + 1115994^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (42693209352071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296480620429 + ... + 296480620572.

Almost surely, 2^{42693209352072} is an apocalyptic number.

It is an amenable number.

42693209352072 is an abundant number, since it is smaller than the sum of its proper divisors (72934232643318).

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

42693209352072 is a wasteful number, since it uses less digits than its factorization.

42693209352072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592961241013 (or 592961241006 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

It can be divided in two parts, 42693209 and 352072, that added together give a triangular number (43045281 = T₉₂₇₈).

The spelling of 42693209352072 in words is "forty-two trillion, six hundred ninety-three billion, two hundred nine million, three hundred fifty-two thousand, seventy-two".