1087977498624 has 192 divisors, whose sum is σ = 3224606112000. Its totient is φ = 362461593600.

The previous prime is 1087977498577. The next prime is 1087977498679. The reversal of 1087977498624 is 4268947797801.

1087977498624 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 9 + 77 + 498 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129996712 + ... + 130005080.

It is an arithmetic number, because the mean of its divisors is an integer number (16794823500).

Almost surely, 2^{1087977498624} 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 1087977498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612303056000).

1087977498624 is an abundant number, since it is smaller than the sum of its proper divisors (2136628613376).

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

1087977498624 is an equidigital number, since it uses as much as digits as its factorization.

1087977498624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 1087977498624 in words is "one trillion, eighty-seven billion, nine hundred seventy-seven million, four hundred ninety-eight thousand, six hundred twenty-four".