59426253887616 has 2048 divisors, whose sum is σ = 228202168320000. Its totient is φ = 15088550400000.

The previous prime is 59426253887593. The next prime is 59426253887773. The reversal of 59426253887616 is 61678835262495.

59426253887616 is a `hidden beast` number, since 5 + 9 + 4 + 2 + 6 + 2 + 538 + 8 + 76 + 16 = 666.

It is a super-2 number, since 2×59426253887616² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 219285069561 + ... + 219285069831.

It is an arithmetic number, because the mean of its divisors is an integer number (111426840000).

Almost surely, 2^{59426253887616} is an apocalyptic number.

59426253887616 is a gapful number since it is divisible by the number (56) 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 59426253887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114101084160000).

59426253887616 is an abundant number, since it is smaller than the sum of its proper divisors (168775914432384).

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

59426253887616 is a wasteful number, since it uses less digits than its factorization.

59426253887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 612 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 59426253887616 in words is "fifty-nine trillion, four hundred twenty-six billion, two hundred fifty-three million, eight hundred eighty-seven thousand, six hundred sixteen".