87177113400 has 384 divisors, whose sum is σ = 305310458880. Its totient is φ = 20431595520.

The previous prime is 87177113393. The next prime is 87177113407. The reversal of 87177113400 is 431177178.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87177113393) and next prime (87177113407).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87177113407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13560987 + ... + 13567413.

It is an arithmetic number, because the mean of its divisors is an integer number (795079320).

Almost surely, 2^87177113400 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 87177113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152655229440).

87177113400 is an abundant number, since it is smaller than the sum of its proper divisors (218133345480).

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

87177113400 is a wasteful number, since it uses less digits than its factorization.

87177113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 87177113400 in words is "eighty-seven billion, one hundred seventy-seven million, one hundred thirteen thousand, four hundred".