78140909952 has 800 divisors, whose sum is σ = 281399327880. Its totient is φ = 21508042752.

The previous prime is 78140909947. The next prime is 78140909969. The reversal of 78140909952 is 25990904187.

It is a super-2 number, since 2×78140909952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1070423388 + ... + 1070423460.

Almost surely, 2^78140909952 is an apocalyptic number.

78140909952 is a gapful number since it is divisible by the number (72) 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 78140909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140699663940).

78140909952 is an abundant number, since it is smaller than the sum of its proper divisors (203258417928).

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

78140909952 is an frugal number, since it uses more digits than its factorization.

78140909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 78140909952 in words is "seventy-eight billion, one hundred forty million, nine hundred nine thousand, nine hundred fifty-two".