87794118000 has 800 divisors, whose sum is σ = 331226383488. Its totient is φ = 22394880000.

The previous prime is 87794117989. The next prime is 87794118053. The reversal of 87794118000 is 81149778.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 581417925 + ... + 581418075.

Almost surely, 2^87794118000 is an apocalyptic number.

87794118000 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 87794118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165613191744).

87794118000 is an abundant number, since it is smaller than the sum of its proper divisors (243432265488).

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

87794118000 is a wasteful number, since it uses less digits than its factorization.

87794118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 87794118000 in words is "eighty-seven billion, seven hundred ninety-four million, one hundred eighteen thousand".