87153712992000 has 576 divisors, whose sum is σ = 332736943593600. Its totient is φ = 22439570227200.

The previous prime is 87153712991987. The next prime is 87153712992007. The reversal of 87153712992000 is 29921735178.

It is a happy number.

87153712992000 is a `hidden beast` number, since 8 + 7 + 1 + 537 + 12 + 9 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87153712992007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23316822 + ... + 26795178.

It is an arithmetic number, because the mean of its divisors is an integer number (577668304850).

Almost surely, 2^{87153712992000} is an apocalyptic number.

87153712992000 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 87153712992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166368471796800).

87153712992000 is an abundant number, since it is smaller than the sum of its proper divisors (245583230601600).

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

87153712992000 is a wasteful number, since it uses less digits than its factorization.

87153712992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478426 (or 3478396 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 87153712992000 in words is "eighty-seven trillion, one hundred fifty-three billion, seven hundred twelve million, nine hundred ninety-two thousand".