87790251744 has 144 divisors (see below), whose sum is σ = 268992360000. Its totient is φ = 26998852608.

The previous prime is 87790251739. The next prime is 87790251793. The reversal of 87790251744 is 44715209778.

87790251744 is a `hidden beast` number, since 87 + 7 + 9 + 0 + 2 + 517 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9538857 + ... + 9548055.

It is an arithmetic number, because the mean of its divisors is an integer number (1868002500).

Almost surely, 2^87790251744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87790251744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134496180000).

87790251744 is an abundant number, since it is smaller than the sum of its proper divisors (181202108256).

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

87790251744 is a wasteful number, since it uses less digits than its factorization.

87790251744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 87790251744 in words is "eighty-seven billion, seven hundred ninety million, two hundred fifty-one thousand, seven hundred forty-four".