10978487024400 has 1215 divisors, whose sum is σ = 46464682111029. Its totient is φ = 2400265486080.

The previous prime is 10978487024387. The next prime is 10978487024411. The reversal of 10978487024400 is 442078487901.

The square root of 10978487024400 is 3313380.

It is a perfect power (a square), and thus also a powerful number.

10978487024400 is a `hidden beast` number, since 1 + 0 + 97 + 8 + 48 + 70 + 2 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3952255328784 + 7026231695616 = 1988028^2 + 2650704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 477325522789 + ... + 477325522811.

Almost surely, 2^{10978487024400} is an apocalyptic number.

10978487024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10978487024400 is the 3313380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10978487024400

10978487024400 is an abundant number, since it is smaller than the sum of its proper divisors (35486195086629).

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

10978487024400 is an frugal number, since it uses more digits than its factorization.

10978487024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 10978487024400 in words is "ten trillion, nine hundred seventy-eight billion, four hundred eighty-seven million, twenty-four thousand, four hundred".