10937198536992 has 2160 divisors, whose sum is σ = 42694762344696. Its totient is φ = 2721425817600.

The previous prime is 10937198536981. The next prime is 10937198537029. The reversal of 10937198536992 is 29963589173901.

10937198536992 is a `hidden beast` number, since 1 + 0 + 93 + 7 + 1 + 98 + 5 + 369 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1318739876496 + 9618458660496 = 1148364^2 + 3101364^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10937198536992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 96789367528 + ... + 96789367640.

Almost surely, 2^{10937198536992} is an apocalyptic number.

10937198536992 is a gapful number since it is divisible by the number (12) 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 10937198536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21347381172348).

10937198536992 is an abundant number, since it is smaller than the sum of its proper divisors (31757563807704).

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

10937198536992 is a wasteful number, since it uses less digits than its factorization.

10937198536992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 10937198536992 in words is "ten trillion, nine hundred thirty-seven billion, one hundred ninety-eight million, five hundred thirty-six thousand, nine hundred ninety-two".