10987392614400 has 1350 divisors, whose sum is σ = 41846833017990. Its totient is φ = 2849557708800.

The previous prime is 10987392614377. The next prime is 10987392614411. The reversal of 10987392614400 is 441629378901.

10987392614400 is a `hidden beast` number, since 1 + 0 + 98 + 7 + 3 + 92 + 61 + 4 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 10226896994304 + 760495620096 = 3197952^2 + 872064^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 123453849556 + ... + 123453849644.

Almost surely, 2^{10987392614400} is an apocalyptic number.

10987392614400 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 10987392614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20923416508995).

10987392614400 is an abundant number, since it is smaller than the sum of its proper divisors (30859440403590).

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

10987392614400 is an frugal number, since it uses more digits than its factorization.

10987392614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10987392614400 in words is "ten trillion, nine hundred eighty-seven billion, three hundred ninety-two million, six hundred fourteen thousand, four hundred".