11977961040 has 240 divisors, whose sum is σ = 42055403520. Its totient is φ = 3051509760.

The previous prime is 11977961011. The next prime is 11977961069. The reversal of 11977961040 is 4016977911.

It is an interprime number because it is at equal distance from previous prime (11977961011) and next prime (11977961069).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759884 + ... + 1766676.

It is an arithmetic number, because the mean of its divisors is an integer number (175230848).

Almost surely, 2^11977961040 is an apocalyptic number.

11977961040 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 11977961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21027701760).

11977961040 is an abundant number, since it is smaller than the sum of its proper divisors (30077442480).

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

11977961040 is a wasteful number, since it uses less digits than its factorization.

11977961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11977961040 in words is "eleven billion, nine hundred seventy-seven million, nine hundred sixty-one thousand, forty".