11492362801920 has 2304 divisors, whose sum is σ = 51434297671680. Its totient is φ = 2109387571200.

The previous prime is 11492362801883. The next prime is 11492362801967. The reversal of 11492362801920 is 2910826329411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11492362801920.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14602747767 + ... + 14602748553.

It is an arithmetic number, because the mean of its divisors is an integer number (22323913920).

Almost surely, 2^{11492362801920} is an apocalyptic number.

11492362801920 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 11492362801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25717148835840).

11492362801920 is an abundant number, since it is smaller than the sum of its proper divisors (39941934869760).

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

11492362801920 is a wasteful number, since it uses less digits than its factorization.

11492362801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 11492362801920 in words is "eleven trillion, four hundred ninety-two billion, three hundred sixty-two million, eight hundred one thousand, nine hundred twenty".