1087271640000 has 3360 divisors, whose sum is σ = 5297252336640. Its totient is φ = 213497856000.

The previous prime is 1087271639989. The next prime is 1087271640019. The reversal of 1087271640000 is 461727801.

1087271640000 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 2 + 7 + 1 + 640 + 0 + 0 + 0 = 666.

1087271640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 29385719982 + ... + 29385720018.

Almost surely, 2^{1087271640000} is an apocalyptic number.

1087271640000 is a gapful number since it is divisible by the number (10) 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 1087271640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648626168320).

1087271640000 is an abundant number, since it is smaller than the sum of its proper divisors (4209980696640).

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

1087271640000 is a wasteful number, since it uses less digits than its factorization.

1087271640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

It can be divided in two parts, 1087271 and 640000, that added together give a palindrome (1727271).

The spelling of 1087271640000 in words is "one trillion, eighty-seven billion, two hundred seventy-one million, six hundred forty thousand".