54413866511004 has 1152 divisors, whose sum is σ = 179440912465920. Its totient is φ = 12495475238400.

The previous prime is 54413866510981. The next prime is 54413866511021. The reversal of 54413866511004 is 40011566831445.

It is a super-3 number, since 3×54413866511004³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 227673081517 + ... + 227673081755.

It is an arithmetic number, because the mean of its divisors is an integer number (155764680960).

Almost surely, 2^{54413866511004} 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 54413866511004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89720456232960).

54413866511004 is an abundant number, since it is smaller than the sum of its proper divisors (125027045954916).

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

54413866511004 is a wasteful number, since it uses less digits than its factorization.

54413866511004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 54413866511004 in words is "fifty-four trillion, four hundred thirteen billion, eight hundred sixty-six million, five hundred eleven thousand, four".