56137893456120 has 256 divisors, whose sum is σ = 197654357606400. Its totient is φ = 12490655224320.

The previous prime is 56137893456107. The next prime is 56137893456287. The reversal of 56137893456120 is 2165439873165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1245904 + ... + 10669023.

It is an arithmetic number, because the mean of its divisors is an integer number (772087334400).

It is a 1-persistent number, because it is pandigital, but 2⋅56137893456120 = 112275786912240 is not.

Almost surely, 2^{56137893456120} 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 56137893456120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98827178803200).

56137893456120 is an abundant number, since it is smaller than the sum of its proper divisors (141516464150280).

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

56137893456120 is a wasteful number, since it uses less digits than its factorization.

56137893456120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11915098 (or 11915094 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 56137893456120 in words is "fifty-six trillion, one hundred thirty-seven billion, eight hundred ninety-three million, four hundred fifty-six thousand, one hundred twenty".