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80530632000 = 26335371317241
BaseRepresentation
bin100101011111111111…
…1111110110101000000
321200212022120222021000
41022333333332311000
52304411320211000
6100554550532000
75550424035450
oct1127777766500
9250768528230
1080530632000
1131175495825
1213735667000
137795053750
143c7d425d60
152164d88000
hex12bfffed40

80530632000 has 1792 divisors, whose sum is σ = 386628802560. Its totient is φ = 15925248000.

The previous prime is 80530631981. The next prime is 80530632001. The reversal of 80530632000 is 23603508.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80530632001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 334151880 + ... + 334152120.

It is an arithmetic number, because the mean of its divisors is an integer number (215752680).

Almost surely, 280530632000 is an apocalyptic number.

80530632000 is a gapful number since it is divisible by the number (80) 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 80530632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193314401280).

80530632000 is an abundant number, since it is smaller than the sum of its proper divisors (306098170560).

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

80530632000 is a wasteful number, since it uses less digits than its factorization.

80530632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 80530632000 in words is "eighty billion, five hundred thirty million, six hundred thirty-two thousand".