2987161632000 has 1152 divisors, whose sum is σ = 13568709073920. Its totient is φ = 630241689600.

The previous prime is 2987161631999. The next prime is 2987161632011. The reversal of 2987161632000 is 2361617892.

2987161632000 is a `hidden beast` number, since 2 + 9 + 8 + 7 + 1 + 6 + 1 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78605004 + ... + 78642996.

Almost surely, 2^{2987161632000} is an apocalyptic number.

2987161632000 is a gapful number since it is divisible by the number (20) 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 2987161632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784354536960).

2987161632000 is an abundant number, since it is smaller than the sum of its proper divisors (10581547441920).

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

2987161632000 is a wasteful number, since it uses less digits than its factorization.

2987161632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38053 (or 38023 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2987161632000 in words is "two trillion, nine hundred eighty-seven billion, one hundred sixty-one million, six hundred thirty-two thousand".