78283680491520 has 3072 divisors, whose sum is σ = 356638464000000. Its totient is φ = 16206041972736.

The previous prime is 78283680491507. The next prime is 78283680491551. The reversal of 78283680491520 is 2519408638287.

78283680491520 is a `hidden beast` number, since 7 + 8 + 2 + 8 + 3 + 68 + 0 + 49 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×78283680491520² (a number of 29 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 255 ways as a sum of consecutive naturals, for example, 41441862736 + ... + 41441864624.

It is an arithmetic number, because the mean of its divisors is an integer number (116093250000).

It is a 1-persistent number, because it is pandigital, but 2⋅78283680491520 = 156567360983040 is not.

Almost surely, 2^{78283680491520} is an apocalyptic number.

78283680491520 is a gapful number since it is divisible by the number (70) 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 78283680491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232000000).

78283680491520 is an abundant number, since it is smaller than the sum of its proper divisors (278354783508480).

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

78283680491520 is a wasteful number, since it uses less digits than its factorization.

78283680491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 78283680491520 in words is "seventy-eight trillion, two hundred eighty-three billion, six hundred eighty million, four hundred ninety-one thousand, five hundred twenty".