11701751040 has 648 divisors, whose sum is σ = 48128056704. Its totient is φ = 2571264000.

The previous prime is 11701751029. The next prime is 11701751051. The reversal of 11701751040 is 4015710711.

It is an interprime number because it is at equal distance from previous prime (11701751029) and next prime (11701751051).

It is a junction number, because it is equal to n+sod(n) for n = 11701750995 and 11701751013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77494965 + ... + 77495115.

Almost surely, 2^11701751040 is an apocalyptic number.

11701751040 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 11701751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064028352).

11701751040 is an abundant number, since it is smaller than the sum of its proper divisors (36426305664).

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

11701751040 is a wasteful number, since it uses less digits than its factorization.

11701751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

It can be divided in two parts, 1170175 and 1040, that added together give a triangular number (1171215 = T₁₅₃₀).

The spelling of 11701751040 in words is "eleven billion, seven hundred one million, seven hundred fifty-one thousand, forty".