56179121553408 has 1536 divisors, whose sum is σ = 195710922247680. Its totient is φ = 13985906688000.

The previous prime is 56179121553407. The next prime is 56179121553409. The reversal of 56179121553408 is 80435512197165.

56179121553408 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56179121553407) and next prime (56179121553409).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56179121553407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223821201283 + ... + 223821201533.

It is an arithmetic number, because the mean of its divisors is an integer number (127415965005).

It is a 1-persistent number, because it is pandigital, but 2⋅56179121553408 = 112358243106816 is not.

Almost surely, 2^{56179121553408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56179121553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97855461123840).

56179121553408 is an abundant number, since it is smaller than the sum of its proper divisors (139531800694272).

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

56179121553408 is a wasteful number, since it uses less digits than its factorization.

56179121553408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 56179121553408 in words is "fifty-six trillion, one hundred seventy-nine billion, one hundred twenty-one million, five hundred fifty-three thousand, four hundred eight".