562420570748400 has 9600 divisors, whose sum is σ = 2835574511616000. Its totient is φ = 105579616665600.

The previous prime is 562420570748251. The next prime is 562420570748437. The reversal of 562420570748400 is 4847075024265.

562420570748400 is a `hidden beast` number, since 5 + 6 + 2 + 4 + 20 + 570 + 7 + 4 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×562420570748400² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 6319332255556 + ... + 6319332255644.

It is an arithmetic number, because the mean of its divisors is an integer number (295372344960).

Almost surely, 2^{562420570748400} is an apocalyptic number.

562420570748400 is a gapful number since it is divisible by the number (50) 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 562420570748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417787255808000).

562420570748400 is an abundant number, since it is smaller than the sum of its proper divisors (2273153940867600).

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

562420570748400 is a wasteful number, since it uses less digits than its factorization.

562420570748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 562420570748400 in words is "five hundred sixty-two trillion, four hundred twenty billion, five hundred seventy million, seven hundred forty-eight thousand, four hundred".