562083582787272 has 576 divisors, whose sum is σ = 1983276492912000. Its totient is φ = 140424255369216.

The previous prime is 562083582787271. The next prime is 562083582787283. The reversal of 562083582787272 is 272787285380265.

562083582787272 is a `hidden beast` number, since 5 + 6 + 2 + 0 + 83 + 5 + 8 + 278 + 7 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 562083582787272.

It is not an unprimeable number, because it can be changed into a prime (562083582787271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24742850058 + ... + 24742872774.

It is an arithmetic number, because the mean of its divisors is an integer number (3443188355750).

Almost surely, 2^{562083582787272} is an apocalyptic number.

562083582787272 is a gapful number since it is divisible by the number (52) 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 562083582787272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991638246456000).

562083582787272 is an abundant number, since it is smaller than the sum of its proper divisors (1421192910124728).

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

562083582787272 is a wasteful number, since it uses less digits than its factorization.

562083582787272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38070 (or 38050 counting only the distinct ones).

The product of its (nonzero) digits is 1264435200, while the sum is 72.

The spelling of 562083582787272 in words is "five hundred sixty-two trillion, eighty-three billion, five hundred eighty-two million, seven hundred eighty-seven thousand, two hundred seventy-two".