57450554007000 has 1536 divisors, whose sum is σ = 228591996272640. Its totient is φ = 11757626496000.

The previous prime is 57450554006959. The next prime is 57450554007071. The reversal of 57450554007000 is 70045505475.

It is a happy number.

It is a super-2 number, since 2×57450554007000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 59411120517 + ... + 59411121483.

It is an arithmetic number, because the mean of its divisors is an integer number (148822914240).

Almost surely, 2^{57450554007000} is an apocalyptic number.

57450554007000 is a gapful number since it is divisible by the number (50) 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 57450554007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114295998136320).

57450554007000 is an abundant number, since it is smaller than the sum of its proper divisors (171141442265640).

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

57450554007000 is a wasteful number, since it uses less digits than its factorization.

57450554007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The spelling of 57450554007000 in words is "fifty-seven trillion, four hundred fifty billion, five hundred fifty-four million, seven thousand".