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58368000000 = 21635619
BaseRepresentation
bin110110010111000000…
…010000000000000000
312120122202200121121210
4312113000100000000
51424014202000000
642451444450120
74134261546132
oct662700200000
9176582617553
1058368000000
112283223a332
12b38b3a9940
1356725cc00b
142b79c2d052
1517b9332350
hexd97010000

58368000000 has 476 divisors, whose sum is σ = 204795816080. Its totient is φ = 14745600000.

The previous prime is 58367999957. The next prime is 58368000043. The reversal of 58368000000 is 86385.

It is an interprime number because it is at equal distance from previous prime (58367999957) and next prime (58368000043).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3071999991 + ... + 3072000009.

Almost surely, 258368000000 is an apocalyptic number.

58368000000 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 58368000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102397908040).

58368000000 is an abundant number, since it is smaller than the sum of its proper divisors (146427816080).

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

58368000000 is an frugal number, since it uses more digits than its factorization.

58368000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 58368000000 its reverse (86385), we get a palindrome (58368086385).

The spelling of 58368000000 in words is "fifty-eight billion, three hundred sixty-eight million", and thus it is an aban number.