87501209040 has 720 divisors, whose sum is σ = 358528427712. Its totient is φ = 19773186048.

The previous prime is 87501209023. The next prime is 87501209053. The reversal of 87501209040 is 4090210578.

87501209040 is a `hidden beast` number, since 8 + 7 + 501 + 20 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 87501208986 and 87501209004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92397847 + ... + 92398793.

Almost surely, 2^87501209040 is an apocalyptic number.

87501209040 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 87501209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179264213856).

87501209040 is an abundant number, since it is smaller than the sum of its proper divisors (271027218672).

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

87501209040 is a wasteful number, since it uses less digits than its factorization.

87501209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 87501209040 in words is "eighty-seven billion, five hundred one million, two hundred nine thousand, forty".