11103890192640 has 1152 divisors, whose sum is σ = 46391435059200. Its totient is φ = 2462242406400.

The previous prime is 11103890192609. The next prime is 11103890192653. The reversal of 11103890192640 is 4629109830111.

11103890192640 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 389 + 0 + 1 + 9 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1570783026 + ... + 1570790094.

Almost surely, 2^{11103890192640} is an apocalyptic number.

11103890192640 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 11103890192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23195717529600).

11103890192640 is an abundant number, since it is smaller than the sum of its proper divisors (35287544866560).

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

11103890192640 is a wasteful number, since it uses less digits than its factorization.

11103890192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11103890192640 in words is "eleven trillion, one hundred three billion, eight hundred ninety million, one hundred ninety-two thousand, six hundred forty".