78535033920 has 672 divisors, whose sum is σ = 322084159488. Its totient is φ = 17842747392.

The previous prime is 78535033919. The next prime is 78535033987. The reversal of 78535033920 is 2933053587.

78535033920 is a `hidden beast` number, since 7 + 8 + 53 + 503 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121383037 + ... + 121383683.

It is an arithmetic number, because the mean of its divisors is an integer number (479291904).

Almost surely, 2^78535033920 is an apocalyptic number.

78535033920 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 78535033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161042079744).

78535033920 is an abundant number, since it is smaller than the sum of its proper divisors (243549125568).

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

78535033920 is a wasteful number, since it uses less digits than its factorization.

78535033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 78535033920 in words is "seventy-eight billion, five hundred thirty-five million, thirty-three thousand, nine hundred twenty".