54250157313792 has 1728 divisors, whose sum is σ = 195169727692800. Its totient is φ = 14783357952000.

The previous prime is 54250157313787. The next prime is 54250157313827. The reversal of 54250157313792 is 29731375105245.

54250157313792 is a `hidden beast` number, since 5 + 4 + 2 + 50 + 1 + 573 + 13 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55188358933 + ... + 55188359915.

Almost surely, 2^{54250157313792} 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 54250157313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97584863846400).

54250157313792 is an abundant number, since it is smaller than the sum of its proper divisors (140919570379008).

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

54250157313792 is a wasteful number, since it uses less digits than its factorization.

54250157313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 54250157313792 in words is "fifty-four trillion, two hundred fifty billion, one hundred fifty-seven million, three hundred thirteen thousand, seven hundred ninety-two".