87119150400 has 336 divisors, whose sum is σ = 318405662400. Its totient is φ = 23171512320.

The previous prime is 87119150399. The next prime is 87119150411. The reversal of 87119150400 is 405191178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18098394 + ... + 18103206.

It is an arithmetic number, because the mean of its divisors is an integer number (947635900).

Almost surely, 2^87119150400 is an apocalyptic number.

87119150400 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 87119150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159202831200).

87119150400 is an abundant number, since it is smaller than the sum of its proper divisors (231286512000).

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

87119150400 is a wasteful number, since it uses less digits than its factorization.

87119150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 87119150400 in words is "eighty-seven billion, one hundred nineteen million, one hundred fifty thousand, four hundred".