52306626093072 has 320 divisors, whose sum is σ = 162303549408000. Its totient is φ = 14340255842304.

The previous prime is 52306626093031. The next prime is 52306626093103. The reversal of 52306626093072 is 27039062660325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287927004 + ... + 288108612.

It is an arithmetic number, because the mean of its divisors is an integer number (507198591900).

Almost surely, 2^{52306626093072} is an apocalyptic number.

52306626093072 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 52306626093072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81151774704000).

52306626093072 is an abundant number, since it is smaller than the sum of its proper divisors (109996923314928).

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

52306626093072 is a wasteful number, since it uses less digits than its factorization.

52306626093072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183098 (or 183092 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 52306626093072 in words is "fifty-two trillion, three hundred six billion, six hundred twenty-six million, ninety-three thousand, seventy-two".