427155813826560 has 4560 divisors, whose sum is σ = 2006084800684800. Its totient is φ = 84904759001088.

The previous prime is 427155813826537. The next prime is 427155813826571. The reversal of 427155813826560 is 65628318551724.

427155813826560 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 5 + 58 + 13 + 8 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4560).

It is a super-2 number, since 2×427155813826560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2386345328551 + ... + 2386345328729.

Almost surely, 2^{427155813826560} is an apocalyptic number.

427155813826560 is a gapful number since it is divisible by the number (40) 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 427155813826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003042400342400).

427155813826560 is an abundant number, since it is smaller than the sum of its proper divisors (1578928986858240).

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

427155813826560 is an equidigital number, since it uses as much as digits as its factorization.

427155813826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 427155813826560 in words is "four hundred twenty-seven trillion, one hundred fifty-five billion, eight hundred thirteen million, eight hundred twenty-six thousand, five hundred sixty".