1054137777000 has 256 divisors, whose sum is σ = 4100459950080. Its totient is φ = 219041568000.

The previous prime is 1054137776999. The next prime is 1054137777013. The reversal of 1054137777000 is 7777314501.

It is a super-2 number, since 2×1054137777000² (a number of 25 digits) contains 22 as substring.

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

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, 2050684 + ... + 2512683.

It is an arithmetic number, because the mean of its divisors is an integer number (16017421680).

Almost surely, 2^{1054137777000} is an apocalyptic number.

1054137777000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054137777000 is an abundant number, since it is smaller than the sum of its proper divisors (3046322173080).

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

1054137777000 is a wasteful number, since it uses less digits than its factorization.

1054137777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563409 (or 4563395 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 42.

The spelling of 1054137777000 in words is "one trillion, fifty-four billion, one hundred thirty-seven million, seven hundred seventy-seven thousand".