10178887680 has 640 divisors, whose sum is σ = 39965864400. Its totient is φ = 2463105024.

The previous prime is 10178887679. The next prime is 10178887687. The reversal of 10178887680 is 8678887101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10178887687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172523491 + ... + 172523549.

Almost surely, 2^10178887680 is an apocalyptic number.

10178887680 is a gapful number since it is divisible by the number (10) 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 10178887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982932200).

10178887680 is an abundant number, since it is smaller than the sum of its proper divisors (29786976720).

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

10178887680 is an frugal number, since it uses more digits than its factorization.

10178887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 10178887680 in words is "ten billion, one hundred seventy-eight million, eight hundred eighty-seven thousand, six hundred eighty".