87091819799040 has 800 divisors, whose sum is σ = 357388986962304. Its totient is φ = 19856926310400.

The previous prime is 87091819799029. The next prime is 87091819799063. The reversal of 87091819799040 is 4099791819078.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87091819799040.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 581984707 + ... + 582134333.

Almost surely, 2^{87091819799040} is an apocalyptic number.

87091819799040 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 87091819799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178694493481152).

87091819799040 is an abundant number, since it is smaller than the sum of its proper divisors (270297167163264).

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

87091819799040 is a wasteful number, since it uses less digits than its factorization.

87091819799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150070 (or 150045 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 87091819799040 in words is "eighty-seven trillion, ninety-one billion, eight hundred nineteen million, seven hundred ninety-nine thousand, forty".